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Simplifying -3x + 12 = -5x + 32 Reorder the terms: 12 + -3x = -5x + 32 Reorder the terms: 12 + -3x = 32 + -5x Solving 12 + -3x = 32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -3x + 5x = 32 + -5x + 5x Combine like terms: -3x + 5x = 2x 12 + 2x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 2x = 32 + 0 12 + 2x = 32 Add '-12' to each side of the equation. 12 + -12 + 2x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 32 + -12 2x = 32 + -12 Combine like terms: 32 + -12 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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