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Simplifying 2(5 + x) = 5(5 + x) (5 * 2 + x * 2) = 5(5 + x) (10 + 2x) = 5(5 + x) 10 + 2x = (5 * 5 + x * 5) 10 + 2x = (25 + 5x) Solving 10 + 2x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 2x + -5x = 25 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = 25 + 0 10 + -3x = 25 Add '-10' to each side of the equation. 10 + -10 + -3x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 25 + -10 -3x = 25 + -10 Combine like terms: 25 + -10 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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