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Simplifying 2(x + 5) + -7 = -2(x + 1) + 17 Reorder the terms: 2(5 + x) + -7 = -2(x + 1) + 17 (5 * 2 + x * 2) + -7 = -2(x + 1) + 17 (10 + 2x) + -7 = -2(x + 1) + 17 Reorder the terms: 10 + -7 + 2x = -2(x + 1) + 17 Combine like terms: 10 + -7 = 3 3 + 2x = -2(x + 1) + 17 Reorder the terms: 3 + 2x = -2(1 + x) + 17 3 + 2x = (1 * -2 + x * -2) + 17 3 + 2x = (-2 + -2x) + 17 Reorder the terms: 3 + 2x = -2 + 17 + -2x Combine like terms: -2 + 17 = 15 3 + 2x = 15 + -2x Solving 3 + 2x = 15 + -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. 3 + 2x + 2x = 15 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = 15 + 0 3 + 4x = 15 Add '-3' to each side of the equation. 3 + -3 + 4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 15 + -3 4x = 15 + -3 Combine like terms: 15 + -3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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