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Simplifying -32 + -12x = -8x + 52 Reorder the terms: -32 + -12x = 52 + -8x Solving -32 + -12x = 52 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -32 + -12x + 8x = 52 + -8x + 8x Combine like terms: -12x + 8x = -4x -32 + -4x = 52 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + -4x = 52 + 0 -32 + -4x = 52 Add '32' to each side of the equation. -32 + 32 + -4x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = 52 + 32 -4x = 52 + 32 Combine like terms: 52 + 32 = 84 -4x = 84 Divide each side by '-4'. x = -21 Simplifying x = -21
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