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Simplifying 5x + 9 + -2(-4x + -3) = 3(x + -1) Reorder the terms: 5x + 9 + -2(-3 + -4x) = 3(x + -1) 5x + 9 + (-3 * -2 + -4x * -2) = 3(x + -1) 5x + 9 + (6 + 8x) = 3(x + -1) Reorder the terms: 9 + 6 + 5x + 8x = 3(x + -1) Combine like terms: 9 + 6 = 15 15 + 5x + 8x = 3(x + -1) Combine like terms: 5x + 8x = 13x 15 + 13x = 3(x + -1) Reorder the terms: 15 + 13x = 3(-1 + x) 15 + 13x = (-1 * 3 + x * 3) 15 + 13x = (-3 + 3x) Solving 15 + 13x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 13x + -3x = -3 + 3x + -3x Combine like terms: 13x + -3x = 10x 15 + 10x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 10x = -3 + 0 15 + 10x = -3 Add '-15' to each side of the equation. 15 + -15 + 10x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = -3 + -15 10x = -3 + -15 Combine like terms: -3 + -15 = -18 10x = -18 Divide each side by '10'. x = -1.8 Simplifying x = -1.8
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