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Simplifying 3x + 12 = 180 + -7x + 32 Reorder the terms: 12 + 3x = 180 + -7x + 32 Reorder the terms: 12 + 3x = 180 + 32 + -7x Combine like terms: 180 + 32 = 212 12 + 3x = 212 + -7x Solving 12 + 3x = 212 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 3x + 7x = 212 + -7x + 7x Combine like terms: 3x + 7x = 10x 12 + 10x = 212 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 10x = 212 + 0 12 + 10x = 212 Add '-12' to each side of the equation. 12 + -12 + 10x = 212 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 212 + -12 10x = 212 + -12 Combine like terms: 212 + -12 = 200 10x = 200 Divide each side by '10'. x = 20 Simplifying x = 20
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