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Simplifying 5(x + 3) = 2(x + 5) Reorder the terms: 5(3 + x) = 2(x + 5) (3 * 5 + x * 5) = 2(x + 5) (15 + 5x) = 2(x + 5) Reorder the terms: 15 + 5x = 2(5 + x) 15 + 5x = (5 * 2 + x * 2) 15 + 5x = (10 + 2x) Solving 15 + 5x = 10 + 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 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x 15 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 3x = 10 + 0 15 + 3x = 10 Add '-15' to each side of the equation. 15 + -15 + 3x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 10 + -15 3x = 10 + -15 Combine like terms: 10 + -15 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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