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Simplifying -1x + -2(x + 1) = 5(x + -2) Reorder the terms: -1x + -2(1 + x) = 5(x + -2) -1x + (1 * -2 + x * -2) = 5(x + -2) -1x + (-2 + -2x) = 5(x + -2) Reorder the terms: -2 + -1x + -2x = 5(x + -2) Combine like terms: -1x + -2x = -3x -2 + -3x = 5(x + -2) Reorder the terms: -2 + -3x = 5(-2 + x) -2 + -3x = (-2 * 5 + x * 5) -2 + -3x = (-10 + 5x) Solving -2 + -3x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + -3x + -5x = -10 + 5x + -5x Combine like terms: -3x + -5x = -8x -2 + -8x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -8x = -10 + 0 -2 + -8x = -10 Add '2' to each side of the equation. -2 + 2 + -8x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -10 + 2 -8x = -10 + 2 Combine like terms: -10 + 2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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