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Simplifying 1(x + -7) = 2(x + -1) Reorder the terms: 1(-7 + x) = 2(x + -1) (-7 * 1 + x * 1) = 2(x + -1) (-7 + 1x) = 2(x + -1) Reorder the terms: -7 + 1x = 2(-1 + x) -7 + 1x = (-1 * 2 + x * 2) -7 + 1x = (-2 + 2x) Solving -7 + 1x = -2 + 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. -7 + 1x + -2x = -2 + 2x + -2x Combine like terms: 1x + -2x = -1x -7 + -1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -1x = -2 + 0 -7 + -1x = -2 Add '7' to each side of the equation. -7 + 7 + -1x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -2 + 7 -1x = -2 + 7 Combine like terms: -2 + 7 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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