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Simplifying 2x + 10 = 5x + 2(x + 5) Reorder the terms: 10 + 2x = 5x + 2(x + 5) Reorder the terms: 10 + 2x = 5x + 2(5 + x) 10 + 2x = 5x + (5 * 2 + x * 2) 10 + 2x = 5x + (10 + 2x) Reorder the terms: 10 + 2x = 10 + 5x + 2x Combine like terms: 5x + 2x = 7x 10 + 2x = 10 + 7x Add '-10' to each side of the equation. 10 + -10 + 2x = 10 + -10 + 7x Combine like terms: 10 + -10 = 0 0 + 2x = 10 + -10 + 7x 2x = 10 + -10 + 7x Combine like terms: 10 + -10 = 0 2x = 0 + 7x 2x = 7x Solving 2x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2x + -7x = 7x + -7x Combine like terms: 2x + -7x = -5x -5x = 7x + -7x Combine like terms: 7x + -7x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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