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Simplifying 7(4x + -4) + 3(17 + -5x) + -4(3x + 5) = -5 Reorder the terms: 7(-4 + 4x) + 3(17 + -5x) + -4(3x + 5) = -5 (-4 * 7 + 4x * 7) + 3(17 + -5x) + -4(3x + 5) = -5 (-28 + 28x) + 3(17 + -5x) + -4(3x + 5) = -5 -28 + 28x + (17 * 3 + -5x * 3) + -4(3x + 5) = -5 -28 + 28x + (51 + -15x) + -4(3x + 5) = -5 Reorder the terms: -28 + 28x + 51 + -15x + -4(5 + 3x) = -5 -28 + 28x + 51 + -15x + (5 * -4 + 3x * -4) = -5 -28 + 28x + 51 + -15x + (-20 + -12x) = -5 Reorder the terms: -28 + 51 + -20 + 28x + -15x + -12x = -5 Combine like terms: -28 + 51 = 23 23 + -20 + 28x + -15x + -12x = -5 Combine like terms: 23 + -20 = 3 3 + 28x + -15x + -12x = -5 Combine like terms: 28x + -15x = 13x 3 + 13x + -12x = -5 Combine like terms: 13x + -12x = 1x 3 + 1x = -5 Solving 3 + 1x = -5 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 = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -5 + -3 1x = -5 + -3 Combine like terms: -5 + -3 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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