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Simplifying (x + -15) + -1(2x + -7) = 8 Reorder the terms: (-15 + x) + -1(2x + -7) = 8 Remove parenthesis around (-15 + x) -15 + x + -1(2x + -7) = 8 Reorder the terms: -15 + x + -1(-7 + 2x) = 8 -15 + x + (-7 * -1 + 2x * -1) = 8 -15 + x + (7 + -2x) = 8 Reorder the terms: -15 + 7 + x + -2x = 8 Combine like terms: -15 + 7 = -8 -8 + x + -2x = 8 Combine like terms: x + -2x = -1x -8 + -1x = 8 Solving -8 + -1x = 8 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 = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 8 + 8 -1x = 8 + 8 Combine like terms: 8 + 8 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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