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Simplifying -2(x + 4) = 10 + -1(1 + x) Reorder the terms: -2(4 + x) = 10 + -1(1 + x) (4 * -2 + x * -2) = 10 + -1(1 + x) (-8 + -2x) = 10 + -1(1 + x) -8 + -2x = 10 + (1 * -1 + x * -1) -8 + -2x = 10 + (-1 + -1x) Combine like terms: 10 + -1 = 9 -8 + -2x = 9 + -1x Solving -8 + -2x = 9 + -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. -8 + -2x + x = 9 + -1x + x Combine like terms: -2x + x = -1x -8 + -1x = 9 + -1x + x Combine like terms: -1x + x = 0 -8 + -1x = 9 + 0 -8 + -1x = 9 Add '8' to each side of the equation. -8 + 8 + -1x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 9 + 8 -1x = 9 + 8 Combine like terms: 9 + 8 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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