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Simplifying 5(4x + -3) + -2(2x + -9) = 3(5x + 5) + -12 Reorder the terms: 5(-3 + 4x) + -2(2x + -9) = 3(5x + 5) + -12 (-3 * 5 + 4x * 5) + -2(2x + -9) = 3(5x + 5) + -12 (-15 + 20x) + -2(2x + -9) = 3(5x + 5) + -12 Reorder the terms: -15 + 20x + -2(-9 + 2x) = 3(5x + 5) + -12 -15 + 20x + (-9 * -2 + 2x * -2) = 3(5x + 5) + -12 -15 + 20x + (18 + -4x) = 3(5x + 5) + -12 Reorder the terms: -15 + 18 + 20x + -4x = 3(5x + 5) + -12 Combine like terms: -15 + 18 = 3 3 + 20x + -4x = 3(5x + 5) + -12 Combine like terms: 20x + -4x = 16x 3 + 16x = 3(5x + 5) + -12 Reorder the terms: 3 + 16x = 3(5 + 5x) + -12 3 + 16x = (5 * 3 + 5x * 3) + -12 3 + 16x = (15 + 15x) + -12 Reorder the terms: 3 + 16x = 15 + -12 + 15x Combine like terms: 15 + -12 = 3 3 + 16x = 3 + 15x Add '-3' to each side of the equation. 3 + -3 + 16x = 3 + -3 + 15x Combine like terms: 3 + -3 = 0 0 + 16x = 3 + -3 + 15x 16x = 3 + -3 + 15x Combine like terms: 3 + -3 = 0 16x = 0 + 15x 16x = 15x Solving 16x = 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. 16x + -15x = 15x + -15x Combine like terms: 16x + -15x = 1x 1x = 15x + -15x Combine like terms: 15x + -15x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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