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Simplifying 7(x + -1) + -1(7x + -8) = 2(6x + -1) + -9 Reorder the terms: 7(-1 + x) + -1(7x + -8) = 2(6x + -1) + -9 (-1 * 7 + x * 7) + -1(7x + -8) = 2(6x + -1) + -9 (-7 + 7x) + -1(7x + -8) = 2(6x + -1) + -9 Reorder the terms: -7 + 7x + -1(-8 + 7x) = 2(6x + -1) + -9 -7 + 7x + (-8 * -1 + 7x * -1) = 2(6x + -1) + -9 -7 + 7x + (8 + -7x) = 2(6x + -1) + -9 Reorder the terms: -7 + 8 + 7x + -7x = 2(6x + -1) + -9 Combine like terms: -7 + 8 = 1 1 + 7x + -7x = 2(6x + -1) + -9 Combine like terms: 7x + -7x = 0 1 + 0 = 2(6x + -1) + -9 1 = 2(6x + -1) + -9 Reorder the terms: 1 = 2(-1 + 6x) + -9 1 = (-1 * 2 + 6x * 2) + -9 1 = (-2 + 12x) + -9 Reorder the terms: 1 = -2 + -9 + 12x Combine like terms: -2 + -9 = -11 1 = -11 + 12x Solving 1 = -11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + -12x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -12x = -11 + 0 1 + -12x = -11 Add '-1' to each side of the equation. 1 + -1 + -12x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -11 + -1 -12x = -11 + -1 Combine like terms: -11 + -1 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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