To be insincere/ twofaced/ hypocritical/ smooth tongue, black heart
To speak words one does not intend; to say one thing but mean another. To put on a façade. 'His mouth and his heart were not equal.'
('Three does the Holy One, blessed be He, hate: one who speaks one thing with the mouth and another with the heart...' - Pesachim 113b), and also: 'And they could not speak peace; from their disgrace we learned their praise, that they did not speak one thing with the mouth and another with the heart' - Rashi on Genesis 37:4, and also: 'It is forbidden for a person to conduct himself with words of division and enticement, and not be one thing in the heart and another, but his inside shall be as his outside, and the matter in the heart is the thing spoken with the mouth' - Rambam, Sefer Hamada, Hilchot De'ot 6:99, and also: 'The Holy One, blessed be He, hates this man who speaks one thing with the mouth and another with the heart' - Rabbi Nachman of Breslov, Sefer Hamidot, Emunah, and also: 'Much cunning and deceit in the world. Falsehood and truth meet... one thing they speak with the mouth and another with the heart' - Burla, Alilot Akavya, 189)
Translation
Expression (Hebrew)
דִּבֵּר אֶחָד בַּפֶּה וְאֶחָד בַּלֵּב
Definition (Hebrew)
דִּבֵּר דְּבָרִים שֶׁלֹּא הִתְכַּוֵּן אֲלֵיהֶם. אָמַר דָּבָר אֶחָד וְהִתְכַּוֵּן לְמַשֶּׁהוּ אַחֵר. הֶעֱמִיד פָּנִים. 'פִּיו וְלִבּוֹ לֹא הָיוּ שָׁוִים'.
("שְׁלוֹשָׁה הקב"ה שׂוֹנְאָן: הַמְדַבֵּר אֶחָד בַּפֶּה וְאֶחָד בַּלֵּב..."- פְּסָחִים קיג ע"ב, וְכֵן:"וְלֹא יָכְלוּ דַּבְּרוֹ לְשָׁלֹם- מִתּוֹךְ גְּנוּתָם לָמַדְנוּ שִׁבְחָם, שֶׁלֹּא דִּבְּרוּ אַחַת בַּפֶּה וְאַחַת בַּלֵּב"- רָשִׁ"י בִּבְרֵאשִׁית לז ד, וְכֵן:"אָסוּר לְאָדָם לְהַנְהִיג עַצְמוֹ בְּדִבְרֵי חֲלָקוֹת וּפִתּוּי, וְלֹא תִּהְיֶה אַחַת בַּלֵּב וְאַחַת בַּלֵּב, אֶלָּא תּוֹכוֹ כְּבָרוֹ, וְהָעִנְיָן שֶׁבַּלֵּב הוּא הַדָּבָר שֶׁבַּפֶּה"-הָרַמְבָּ"ם/ סֵפֶר הַמַּדָּע, הִלְכוֹת דֵּעוֹת, ו, 99, וְכֵן:"הַקָּדוֹשׁ בָּרוּךְ הוּא שׂוֹנֵא לְזֶה הָאִישׁ, הַמְדַבֵּר אֶחָד בַּפֶּה וְאֶחָד בַּלֵּב"- ר' נַחְמָן מִבְּרֶסְלָב/ סֵפֶר הַמִּדּוֹת,אֱמוּנָה, וְכֵן:"הַרְבֵּה עֲרֵמָה וְתַרְמִית בָּעוֹלָם.שֶׁקֶר וֶאֱמֶת נִפְגְּשׁוּ...אַחַת יְדַבְּרוּ בַּפֶּה וְאַחַת בַּלֵּב"- בּוּרְלָא/ עֲלִילוֹת עֲקַבְיָה, 189)