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Simplifying -2(4 + x) = 10 + -1(x + -2) (4 * -2 + x * -2) = 10 + -1(x + -2) (-8 + -2x) = 10 + -1(x + -2) Reorder the terms: -8 + -2x = 10 + -1(-2 + x) -8 + -2x = 10 + (-2 * -1 + x * -1) -8 + -2x = 10 + (2 + -1x) Combine like terms: 10 + 2 = 12 -8 + -2x = 12 + -1x Solving -8 + -2x = 12 + -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 = 12 + -1x + x Combine like terms: -2x + x = -1x -8 + -1x = 12 + -1x + x Combine like terms: -1x + x = 0 -8 + -1x = 12 + 0 -8 + -1x = 12 Add '8' to each side of the equation. -8 + 8 + -1x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 12 + 8 -1x = 12 + 8 Combine like terms: 12 + 8 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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