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Simplifying -1(x + 1) = x + -15 Reorder the terms: -1(1 + x) = x + -15 (1 * -1 + x * -1) = x + -15 (-1 + -1x) = x + -15 Reorder the terms: -1 + -1x = -15 + x Solving -1 + -1x = -15 + 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 + -1x = -15 + x + -1x Combine like terms: -1x + -1x = -2x -1 + -2x = -15 + x + -1x Combine like terms: x + -1x = 0 -1 + -2x = -15 + 0 -1 + -2x = -15 Add '1' to each side of the equation. -1 + 1 + -2x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -15 + 1 -2x = -15 + 1 Combine like terms: -15 + 1 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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