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