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Simplifying 10x + 12 = 9x + 32 Reorder the terms: 12 + 10x = 9x + 32 Reorder the terms: 12 + 10x = 32 + 9x Solving 12 + 10x = 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 + 10x + -9x = 32 + 9x + -9x Combine like terms: 10x + -9x = 1x 12 + 1x = 32 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 1x = 32 + 0 12 + 1x = 32 Add '-12' to each side of the equation. 12 + -12 + 1x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 32 + -12 1x = 32 + -12 Combine like terms: 32 + -12 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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