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Simplifying -32 = -5(-2x + -1) + 2x + -1 Reorder the terms: -32 = -5(-1 + -2x) + 2x + -1 -32 = (-1 * -5 + -2x * -5) + 2x + -1 -32 = (5 + 10x) + 2x + -1 Reorder the terms: -32 = 5 + -1 + 10x + 2x Combine like terms: 5 + -1 = 4 -32 = 4 + 10x + 2x Combine like terms: 10x + 2x = 12x -32 = 4 + 12x Solving -32 = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + -12x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -12x = 4 + 0 -32 + -12x = 4 Add '32' to each side of the equation. -32 + 32 + -12x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = 4 + 32 -12x = 4 + 32 Combine like terms: 4 + 32 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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