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Simplifying (x + -7) + -1(x + 8) = 2x Reorder the terms: (-7 + x) + -1(x + 8) = 2x Remove parenthesis around (-7 + x) -7 + x + -1(x + 8) = 2x Reorder the terms: -7 + x + -1(8 + x) = 2x -7 + x + (8 * -1 + x * -1) = 2x -7 + x + (-8 + -1x) = 2x Reorder the terms: -7 + -8 + x + -1x = 2x Combine like terms: -7 + -8 = -15 -15 + x + -1x = 2x Combine like terms: x + -1x = 0 -15 + 0 = 2x -15 = 2x Solving -15 = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -2x = 0 Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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