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Simplifying 3(x + 5) = 2(x + 3) Reorder the terms: 3(5 + x) = 2(x + 3) (5 * 3 + x * 3) = 2(x + 3) (15 + 3x) = 2(x + 3) Reorder the terms: 15 + 3x = 2(3 + x) 15 + 3x = (3 * 2 + x * 2) 15 + 3x = (6 + 2x) Solving 15 + 3x = 6 + 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. 15 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = 6 + 0 15 + 1x = 6 Add '-15' to each side of the equation. 15 + -15 + 1x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 6 + -15 1x = 6 + -15 Combine like terms: 6 + -15 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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