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Simplifying 2x + 5(x + 2) = 2(x + 10) Reorder the terms: 2x + 5(2 + x) = 2(x + 10) 2x + (2 * 5 + x * 5) = 2(x + 10) 2x + (10 + 5x) = 2(x + 10) Reorder the terms: 10 + 2x + 5x = 2(x + 10) Combine like terms: 2x + 5x = 7x 10 + 7x = 2(x + 10) Reorder the terms: 10 + 7x = 2(10 + x) 10 + 7x = (10 * 2 + x * 2) 10 + 7x = (20 + 2x) Solving 10 + 7x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 7x + -2x = 20 + 2x + -2x Combine like terms: 7x + -2x = 5x 10 + 5x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 5x = 20 + 0 10 + 5x = 20 Add '-10' to each side of the equation. 10 + -10 + 5x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 20 + -10 5x = 20 + -10 Combine like terms: 20 + -10 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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