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Simplifying 2(2x + 5) + 7 = 5 + 2x Reorder the terms: 2(5 + 2x) + 7 = 5 + 2x (5 * 2 + 2x * 2) + 7 = 5 + 2x (10 + 4x) + 7 = 5 + 2x Reorder the terms: 10 + 7 + 4x = 5 + 2x Combine like terms: 10 + 7 = 17 17 + 4x = 5 + 2x Solving 17 + 4x = 5 + 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. 17 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x 17 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 2x = 5 + 0 17 + 2x = 5 Add '-17' to each side of the equation. 17 + -17 + 2x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 5 + -17 2x = 5 + -17 Combine like terms: 5 + -17 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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