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Simplifying -6(x + -1) + -7 = 7 + -1x + 2 Reorder the terms: -6(-1 + x) + -7 = 7 + -1x + 2 (-1 * -6 + x * -6) + -7 = 7 + -1x + 2 (6 + -6x) + -7 = 7 + -1x + 2 Reorder the terms: 6 + -7 + -6x = 7 + -1x + 2 Combine like terms: 6 + -7 = -1 -1 + -6x = 7 + -1x + 2 Reorder the terms: -1 + -6x = 7 + 2 + -1x Combine like terms: 7 + 2 = 9 -1 + -6x = 9 + -1x Solving -1 + -6x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + -6x + x = 9 + -1x + x Combine like terms: -6x + x = -5x -1 + -5x = 9 + -1x + x Combine like terms: -1x + x = 0 -1 + -5x = 9 + 0 -1 + -5x = 9 Add '1' to each side of the equation. -1 + 1 + -5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 9 + 1 -5x = 9 + 1 Combine like terms: 9 + 1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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