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Simplifying 3x + 35 = 12x + -32 Reorder the terms: 35 + 3x = 12x + -32 Reorder the terms: 35 + 3x = -32 + 12x Solving 35 + 3x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 35 + 3x + -12x = -32 + 12x + -12x Combine like terms: 3x + -12x = -9x 35 + -9x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -9x = -32 + 0 35 + -9x = -32 Add '-35' to each side of the equation. 35 + -35 + -9x = -32 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = -32 + -35 -9x = -32 + -35 Combine like terms: -32 + -35 = -67 -9x = -67 Divide each side by '-9'. x = 7.444444444 Simplifying x = 7.444444444
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