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Simplifying -12x + -32 = -16x + -52 Reorder the terms: -32 + -12x = -16x + -52 Reorder the terms: -32 + -12x = -52 + -16x Solving -32 + -12x = -52 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -32 + -12x + 16x = -52 + -16x + 16x Combine like terms: -12x + 16x = 4x -32 + 4x = -52 + -16x + 16x Combine like terms: -16x + 16x = 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 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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