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