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Simplifying 2(x + 5) + -1(x + -7) = 0 Reorder the terms: 2(5 + x) + -1(x + -7) = 0 (5 * 2 + x * 2) + -1(x + -7) = 0 (10 + 2x) + -1(x + -7) = 0 Reorder the terms: 10 + 2x + -1(-7 + x) = 0 10 + 2x + (-7 * -1 + x * -1) = 0 10 + 2x + (7 + -1x) = 0 Reorder the terms: 10 + 7 + 2x + -1x = 0 Combine like terms: 10 + 7 = 17 17 + 2x + -1x = 0 Combine like terms: 2x + -1x = 1x 17 + 1x = 0 Solving 17 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 0 + -17 1x = 0 + -17 Combine like terms: 0 + -17 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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