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Simplifying 3x + 32 = 12x + -78 Reorder the terms: 32 + 3x = 12x + -78 Reorder the terms: 32 + 3x = -78 + 12x Solving 32 + 3x = -78 + 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. 32 + 3x + -12x = -78 + 12x + -12x Combine like terms: 3x + -12x = -9x 32 + -9x = -78 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -9x = -78 + 0 32 + -9x = -78 Add '-32' to each side of the equation. 32 + -32 + -9x = -78 + -32 Combine like terms: 32 + -32 = 0 0 + -9x = -78 + -32 -9x = -78 + -32 Combine like terms: -78 + -32 = -110 -9x = -110 Divide each side by '-9'. x = 12.22222222 Simplifying x = 12.22222222
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