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Simplifying 3(7x + -3) + -2(4x + -14) = 4(3x + 2) Reorder the terms: 3(-3 + 7x) + -2(4x + -14) = 4(3x + 2) (-3 * 3 + 7x * 3) + -2(4x + -14) = 4(3x + 2) (-9 + 21x) + -2(4x + -14) = 4(3x + 2) Reorder the terms: -9 + 21x + -2(-14 + 4x) = 4(3x + 2) -9 + 21x + (-14 * -2 + 4x * -2) = 4(3x + 2) -9 + 21x + (28 + -8x) = 4(3x + 2) Reorder the terms: -9 + 28 + 21x + -8x = 4(3x + 2) Combine like terms: -9 + 28 = 19 19 + 21x + -8x = 4(3x + 2) Combine like terms: 21x + -8x = 13x 19 + 13x = 4(3x + 2) Reorder the terms: 19 + 13x = 4(2 + 3x) 19 + 13x = (2 * 4 + 3x * 4) 19 + 13x = (8 + 12x) Solving 19 + 13x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 19 + 13x + -12x = 8 + 12x + -12x Combine like terms: 13x + -12x = 1x 19 + 1x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + 1x = 8 + 0 19 + 1x = 8 Add '-19' to each side of the equation. 19 + -19 + 1x = 8 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 8 + -19 1x = 8 + -19 Combine like terms: 8 + -19 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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