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Simplifying -1(x + 7) = -2(x + 10) Reorder the terms: -1(7 + x) = -2(x + 10) (7 * -1 + x * -1) = -2(x + 10) (-7 + -1x) = -2(x + 10) Reorder the terms: -7 + -1x = -2(10 + x) -7 + -1x = (10 * -2 + x * -2) -7 + -1x = (-20 + -2x) Solving -7 + -1x = -20 + -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 = -20 + -2x + 2x Combine like terms: -1x + 2x = 1x -7 + 1x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 1x = -20 + 0 -7 + 1x = -20 Add '7' to each side of the equation. -7 + 7 + 1x = -20 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -20 + 7 1x = -20 + 7 Combine like terms: -20 + 7 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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