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Simplifying 5(x + 3) = 3(x + 2) Reorder the terms: 5(3 + x) = 3(x + 2) (3 * 5 + x * 5) = 3(x + 2) (15 + 5x) = 3(x + 2) Reorder the terms: 15 + 5x = 3(2 + x) 15 + 5x = (2 * 3 + x * 3) 15 + 5x = (6 + 3x) Solving 15 + 5x = 6 + 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 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = 6 + 0 15 + 2x = 6 Add '-15' to each side of the equation. 15 + -15 + 2x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 6 + -15 2x = 6 + -15 Combine like terms: 6 + -15 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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