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Simplifying 4(5x + -4) + 2(17 + -2x) + -3(5x + 3) = -5 Reorder the terms: 4(-4 + 5x) + 2(17 + -2x) + -3(5x + 3) = -5 (-4 * 4 + 5x * 4) + 2(17 + -2x) + -3(5x + 3) = -5 (-16 + 20x) + 2(17 + -2x) + -3(5x + 3) = -5 -16 + 20x + (17 * 2 + -2x * 2) + -3(5x + 3) = -5 -16 + 20x + (34 + -4x) + -3(5x + 3) = -5 Reorder the terms: -16 + 20x + 34 + -4x + -3(3 + 5x) = -5 -16 + 20x + 34 + -4x + (3 * -3 + 5x * -3) = -5 -16 + 20x + 34 + -4x + (-9 + -15x) = -5 Reorder the terms: -16 + 34 + -9 + 20x + -4x + -15x = -5 Combine like terms: -16 + 34 = 18 18 + -9 + 20x + -4x + -15x = -5 Combine like terms: 18 + -9 = 9 9 + 20x + -4x + -15x = -5 Combine like terms: 20x + -4x = 16x 9 + 16x + -15x = -5 Combine like terms: 16x + -15x = 1x 9 + 1x = -5 Solving 9 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -5 + -9 1x = -5 + -9 Combine like terms: -5 + -9 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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