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Simplifying -1(6x + 2) + -1(-5x + -7) = 6 Reorder the terms: -1(2 + 6x) + -1(-5x + -7) = 6 (2 * -1 + 6x * -1) + -1(-5x + -7) = 6 (-2 + -6x) + -1(-5x + -7) = 6 Reorder the terms: -2 + -6x + -1(-7 + -5x) = 6 -2 + -6x + (-7 * -1 + -5x * -1) = 6 -2 + -6x + (7 + 5x) = 6 Reorder the terms: -2 + 7 + -6x + 5x = 6 Combine like terms: -2 + 7 = 5 5 + -6x + 5x = 6 Combine like terms: -6x + 5x = -1x 5 + -1x = 6 Solving 5 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 6 + -5 -1x = 6 + -5 Combine like terms: 6 + -5 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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