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Simplifying -1x + 2 + 2(-4x + -5) = x + 2 Reorder the terms: -1x + 2 + 2(-5 + -4x) = x + 2 -1x + 2 + (-5 * 2 + -4x * 2) = x + 2 -1x + 2 + (-10 + -8x) = x + 2 Reorder the terms: 2 + -10 + -1x + -8x = x + 2 Combine like terms: 2 + -10 = -8 -8 + -1x + -8x = x + 2 Combine like terms: -1x + -8x = -9x -8 + -9x = x + 2 Reorder the terms: -8 + -9x = 2 + x Solving -8 + -9x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -9x + -1x = 2 + x + -1x Combine like terms: -9x + -1x = -10x -8 + -10x = 2 + x + -1x Combine like terms: x + -1x = 0 -8 + -10x = 2 + 0 -8 + -10x = 2 Add '8' to each side of the equation. -8 + 8 + -10x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 2 + 8 -10x = 2 + 8 Combine like terms: 2 + 8 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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