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Simplifying 2(2x + 5) = 5x + 2 Reorder the terms: 2(5 + 2x) = 5x + 2 (5 * 2 + 2x * 2) = 5x + 2 (10 + 4x) = 5x + 2 Reorder the terms: 10 + 4x = 2 + 5x Solving 10 + 4x = 2 + 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 + 4x + -5x = 2 + 5x + -5x Combine like terms: 4x + -5x = -1x 10 + -1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -1x = 2 + 0 10 + -1x = 2 Add '-10' to each side of the equation. 10 + -10 + -1x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 2 + -10 -1x = 2 + -10 Combine like terms: 2 + -10 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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