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Simplifying 7(4x + -4) + 3(15 + -5x) + -3(4x + 5) = -12 Reorder the terms: 7(-4 + 4x) + 3(15 + -5x) + -3(4x + 5) = -12 (-4 * 7 + 4x * 7) + 3(15 + -5x) + -3(4x + 5) = -12 (-28 + 28x) + 3(15 + -5x) + -3(4x + 5) = -12 -28 + 28x + (15 * 3 + -5x * 3) + -3(4x + 5) = -12 -28 + 28x + (45 + -15x) + -3(4x + 5) = -12 Reorder the terms: -28 + 28x + 45 + -15x + -3(5 + 4x) = -12 -28 + 28x + 45 + -15x + (5 * -3 + 4x * -3) = -12 -28 + 28x + 45 + -15x + (-15 + -12x) = -12 Reorder the terms: -28 + 45 + -15 + 28x + -15x + -12x = -12 Combine like terms: -28 + 45 = 17 17 + -15 + 28x + -15x + -12x = -12 Combine like terms: 17 + -15 = 2 2 + 28x + -15x + -12x = -12 Combine like terms: 28x + -15x = 13x 2 + 13x + -12x = -12 Combine like terms: 13x + -12x = 1x 2 + 1x = -12 Solving 2 + 1x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -12 + -2 1x = -12 + -2 Combine like terms: -12 + -2 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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