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Simplifying 4(5x + -4) + -2(2x + -17) = 3(5x + 5) + -12 Reorder the terms: 4(-4 + 5x) + -2(2x + -17) = 3(5x + 5) + -12 (-4 * 4 + 5x * 4) + -2(2x + -17) = 3(5x + 5) + -12 (-16 + 20x) + -2(2x + -17) = 3(5x + 5) + -12 Reorder the terms: -16 + 20x + -2(-17 + 2x) = 3(5x + 5) + -12 -16 + 20x + (-17 * -2 + 2x * -2) = 3(5x + 5) + -12 -16 + 20x + (34 + -4x) = 3(5x + 5) + -12 Reorder the terms: -16 + 34 + 20x + -4x = 3(5x + 5) + -12 Combine like terms: -16 + 34 = 18 18 + 20x + -4x = 3(5x + 5) + -12 Combine like terms: 20x + -4x = 16x 18 + 16x = 3(5x + 5) + -12 Reorder the terms: 18 + 16x = 3(5 + 5x) + -12 18 + 16x = (5 * 3 + 5x * 3) + -12 18 + 16x = (15 + 15x) + -12 Reorder the terms: 18 + 16x = 15 + -12 + 15x Combine like terms: 15 + -12 = 3 18 + 16x = 3 + 15x Solving 18 + 16x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 16x + -15x = 3 + 15x + -15x Combine like terms: 16x + -15x = 1x 18 + 1x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + 1x = 3 + 0 18 + 1x = 3 Add '-18' to each side of the equation. 18 + -18 + 1x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 3 + -18 1x = 3 + -18 Combine like terms: 3 + -18 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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