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Simplifying -1x + 2(-5x + -4) = -1x + 32 Reorder the terms: -1x + 2(-4 + -5x) = -1x + 32 -1x + (-4 * 2 + -5x * 2) = -1x + 32 -1x + (-8 + -10x) = -1x + 32 Reorder the terms: -8 + -1x + -10x = -1x + 32 Combine like terms: -1x + -10x = -11x -8 + -11x = -1x + 32 Reorder the terms: -8 + -11x = 32 + -1x Solving -8 + -11x = 32 + -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 + -11x + x = 32 + -1x + x Combine like terms: -11x + x = -10x -8 + -10x = 32 + -1x + x Combine like terms: -1x + x = 0 -8 + -10x = 32 + 0 -8 + -10x = 32 Add '8' to each side of the equation. -8 + 8 + -10x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 32 + 8 -10x = 32 + 8 Combine like terms: 32 + 8 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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