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Simplifying 7(4x + -4) + 4(14 + -3x) + -5(3x + 5) = -15 Reorder the terms: 7(-4 + 4x) + 4(14 + -3x) + -5(3x + 5) = -15 (-4 * 7 + 4x * 7) + 4(14 + -3x) + -5(3x + 5) = -15 (-28 + 28x) + 4(14 + -3x) + -5(3x + 5) = -15 -28 + 28x + (14 * 4 + -3x * 4) + -5(3x + 5) = -15 -28 + 28x + (56 + -12x) + -5(3x + 5) = -15 Reorder the terms: -28 + 28x + 56 + -12x + -5(5 + 3x) = -15 -28 + 28x + 56 + -12x + (5 * -5 + 3x * -5) = -15 -28 + 28x + 56 + -12x + (-25 + -15x) = -15 Reorder the terms: -28 + 56 + -25 + 28x + -12x + -15x = -15 Combine like terms: -28 + 56 = 28 28 + -25 + 28x + -12x + -15x = -15 Combine like terms: 28 + -25 = 3 3 + 28x + -12x + -15x = -15 Combine like terms: 28x + -12x = 16x 3 + 16x + -15x = -15 Combine like terms: 16x + -15x = 1x 3 + 1x = -15 Solving 3 + 1x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -15 + -3 1x = -15 + -3 Combine like terms: -15 + -3 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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