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Simplifying 5(2x + 3) = 9 + -2(x + -3) Reorder the terms: 5(3 + 2x) = 9 + -2(x + -3) (3 * 5 + 2x * 5) = 9 + -2(x + -3) (15 + 10x) = 9 + -2(x + -3) Reorder the terms: 15 + 10x = 9 + -2(-3 + x) 15 + 10x = 9 + (-3 * -2 + x * -2) 15 + 10x = 9 + (6 + -2x) Combine like terms: 9 + 6 = 15 15 + 10x = 15 + -2x Add '-15' to each side of the equation. 15 + -15 + 10x = 15 + -15 + -2x Combine like terms: 15 + -15 = 0 0 + 10x = 15 + -15 + -2x 10x = 15 + -15 + -2x Combine like terms: 15 + -15 = 0 10x = 0 + -2x 10x = -2x Solving 10x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10x + 2x = -2x + 2x Combine like terms: 10x + 2x = 12x 12x = -2x + 2x Combine like terms: -2x + 2x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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