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Simplifying -7 + -2(x + 5) = 8x + -1(x + -1) Reorder the terms: -7 + -2(5 + x) = 8x + -1(x + -1) -7 + (5 * -2 + x * -2) = 8x + -1(x + -1) -7 + (-10 + -2x) = 8x + -1(x + -1) Combine like terms: -7 + -10 = -17 -17 + -2x = 8x + -1(x + -1) Reorder the terms: -17 + -2x = 8x + -1(-1 + x) -17 + -2x = 8x + (-1 * -1 + x * -1) -17 + -2x = 8x + (1 + -1x) Reorder the terms: -17 + -2x = 1 + 8x + -1x Combine like terms: 8x + -1x = 7x -17 + -2x = 1 + 7x Solving -17 + -2x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + -2x + -7x = 1 + 7x + -7x Combine like terms: -2x + -7x = -9x -17 + -9x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -9x = 1 + 0 -17 + -9x = 1 Add '17' to each side of the equation. -17 + 17 + -9x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -9x = 1 + 17 -9x = 1 + 17 Combine like terms: 1 + 17 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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