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Simplifying 5x + 12 = 9x + 32 Reorder the terms: 12 + 5x = 9x + 32 Reorder the terms: 12 + 5x = 32 + 9x Solving 12 + 5x = 32 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 5x + -9x = 32 + 9x + -9x Combine like terms: 5x + -9x = -4x 12 + -4x = 32 + 9x + -9x Combine like terms: 9x + -9x = 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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