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Simplifying -2x + 2 = 7(x + -1) Reorder the terms: 2 + -2x = 7(x + -1) Reorder the terms: 2 + -2x = 7(-1 + x) 2 + -2x = (-1 * 7 + x * 7) 2 + -2x = (-7 + 7x) Solving 2 + -2x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -2x + -7x = -7 + 7x + -7x Combine like terms: -2x + -7x = -9x 2 + -9x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -9x = -7 + 0 2 + -9x = -7 Add '-2' to each side of the equation. 2 + -2 + -9x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -7 + -2 -9x = -7 + -2 Combine like terms: -7 + -2 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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