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Simplifying 5(-2x + -2) = -1(x + -8) Reorder the terms: 5(-2 + -2x) = -1(x + -8) (-2 * 5 + -2x * 5) = -1(x + -8) (-10 + -10x) = -1(x + -8) Reorder the terms: -10 + -10x = -1(-8 + x) -10 + -10x = (-8 * -1 + x * -1) -10 + -10x = (8 + -1x) Solving -10 + -10x = 8 + -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. -10 + -10x + x = 8 + -1x + x Combine like terms: -10x + x = -9x -10 + -9x = 8 + -1x + x Combine like terms: -1x + x = 0 -10 + -9x = 8 + 0 -10 + -9x = 8 Add '10' to each side of the equation. -10 + 10 + -9x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 8 + 10 -9x = 8 + 10 Combine like terms: 8 + 10 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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