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