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Simplifying 2(2x + 5) + -5 = 2x + 7 Reorder the terms: 2(5 + 2x) + -5 = 2x + 7 (5 * 2 + 2x * 2) + -5 = 2x + 7 (10 + 4x) + -5 = 2x + 7 Reorder the terms: 10 + -5 + 4x = 2x + 7 Combine like terms: 10 + -5 = 5 5 + 4x = 2x + 7 Reorder the terms: 5 + 4x = 7 + 2x Solving 5 + 4x = 7 + 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. 5 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 7 + 0 5 + 2x = 7 Add '-5' to each side of the equation. 5 + -5 + 2x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 7 + -5 2x = 7 + -5 Combine like terms: 7 + -5 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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