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Simplifying 3(4x + -5) + -3(2x + 7) + 32 = 2(2x + 1) + -14 Reorder the terms: 3(-5 + 4x) + -3(2x + 7) + 32 = 2(2x + 1) + -14 (-5 * 3 + 4x * 3) + -3(2x + 7) + 32 = 2(2x + 1) + -14 (-15 + 12x) + -3(2x + 7) + 32 = 2(2x + 1) + -14 Reorder the terms: -15 + 12x + -3(7 + 2x) + 32 = 2(2x + 1) + -14 -15 + 12x + (7 * -3 + 2x * -3) + 32 = 2(2x + 1) + -14 -15 + 12x + (-21 + -6x) + 32 = 2(2x + 1) + -14 Reorder the terms: -15 + -21 + 32 + 12x + -6x = 2(2x + 1) + -14 Combine like terms: -15 + -21 = -36 -36 + 32 + 12x + -6x = 2(2x + 1) + -14 Combine like terms: -36 + 32 = -4 -4 + 12x + -6x = 2(2x + 1) + -14 Combine like terms: 12x + -6x = 6x -4 + 6x = 2(2x + 1) + -14 Reorder the terms: -4 + 6x = 2(1 + 2x) + -14 -4 + 6x = (1 * 2 + 2x * 2) + -14 -4 + 6x = (2 + 4x) + -14 Reorder the terms: -4 + 6x = 2 + -14 + 4x Combine like terms: 2 + -14 = -12 -4 + 6x = -12 + 4x Solving -4 + 6x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 2x = -12 + 0 -4 + 2x = -12 Add '4' to each side of the equation. -4 + 4 + 2x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -12 + 4 2x = -12 + 4 Combine like terms: -12 + 4 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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