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Simplifying 2(5 + x) = 3(8 + x) (5 * 2 + x * 2) = 3(8 + x) (10 + 2x) = 3(8 + x) 10 + 2x = (8 * 3 + x * 3) 10 + 2x = (24 + 3x) Solving 10 + 2x = 24 + 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. 10 + 2x + -3x = 24 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 24 + 0 10 + -1x = 24 Add '-10' to each side of the equation. 10 + -10 + -1x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 24 + -10 -1x = 24 + -10 Combine like terms: 24 + -10 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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