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