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Simplifying -7 = -1(x + 1) Reorder the terms: -7 = -1(1 + x) -7 = (1 * -1 + x * -1) -7 = (-1 + -1x) Solving -7 = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + x = -1 + -1x + x Combine like terms: -1x + x = 0 -7 + x = -1 + 0 -7 + x = -1 Add '7' to each side of the equation. -7 + 7 + x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + x = -1 + 7 x = -1 + 7 Combine like terms: -1 + 7 = 6 x = 6 Simplifying x = 6
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