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Simplifying 5(x + 3) + 9 = 3(x + -2) + 6 Reorder the terms: 5(3 + x) + 9 = 3(x + -2) + 6 (3 * 5 + x * 5) + 9 = 3(x + -2) + 6 (15 + 5x) + 9 = 3(x + -2) + 6 Reorder the terms: 15 + 9 + 5x = 3(x + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5x = 3(x + -2) + 6 Reorder the terms: 24 + 5x = 3(-2 + x) + 6 24 + 5x = (-2 * 3 + x * 3) + 6 24 + 5x = (-6 + 3x) + 6 Reorder the terms: 24 + 5x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 24 + 5x = 0 + 3x 24 + 5x = 3x Solving 24 + 5x = 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. 24 + 5x + -3x = 3x + -3x Combine like terms: 5x + -3x = 2x 24 + 2x = 3x + -3x Combine like terms: 3x + -3x = 0 24 + 2x = 0 Add '-24' to each side of the equation. 24 + -24 + 2x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 0 + -24 2x = 0 + -24 Combine like terms: 0 + -24 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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