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