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