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Simplifying 5(-2x + 3) = 9(-3 + -2x) Reorder the terms: 5(3 + -2x) = 9(-3 + -2x) (3 * 5 + -2x * 5) = 9(-3 + -2x) (15 + -10x) = 9(-3 + -2x) 15 + -10x = (-3 * 9 + -2x * 9) 15 + -10x = (-27 + -18x) Solving 15 + -10x = -27 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 15 + -10x + 18x = -27 + -18x + 18x Combine like terms: -10x + 18x = 8x 15 + 8x = -27 + -18x + 18x Combine like terms: -18x + 18x = 0 15 + 8x = -27 + 0 15 + 8x = -27 Add '-15' to each side of the equation. 15 + -15 + 8x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -27 + -15 8x = -27 + -15 Combine like terms: -27 + -15 = -42 8x = -42 Divide each side by '8'. x = -5.25 Simplifying x = -5.25
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