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Simplifying -32 = 4(x + -5) + 8x Reorder the terms: -32 = 4(-5 + x) + 8x -32 = (-5 * 4 + x * 4) + 8x -32 = (-20 + 4x) + 8x Combine like terms: 4x + 8x = 12x -32 = -20 + 12x Solving -32 = -20 + 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 = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -12x = -20 + 0 -32 + -12x = -20 Add '32' to each side of the equation. -32 + 32 + -12x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = -20 + 32 -12x = -20 + 32 Combine like terms: -20 + 32 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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