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Simplifying 5(x + 2) + -7(x + -1) = 1 Reorder the terms: 5(2 + x) + -7(x + -1) = 1 (2 * 5 + x * 5) + -7(x + -1) = 1 (10 + 5x) + -7(x + -1) = 1 Reorder the terms: 10 + 5x + -7(-1 + x) = 1 10 + 5x + (-1 * -7 + x * -7) = 1 10 + 5x + (7 + -7x) = 1 Reorder the terms: 10 + 7 + 5x + -7x = 1 Combine like terms: 10 + 7 = 17 17 + 5x + -7x = 1 Combine like terms: 5x + -7x = -2x 17 + -2x = 1 Solving 17 + -2x = 1 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 + -2x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 1 + -17 -2x = 1 + -17 Combine like terms: 1 + -17 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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