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Simplifying 2x + 32 = 12x + -78 Reorder the terms: 32 + 2x = 12x + -78 Reorder the terms: 32 + 2x = -78 + 12x Solving 32 + 2x = -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 + 2x + -12x = -78 + 12x + -12x Combine like terms: 2x + -12x = -10x 32 + -10x = -78 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -10x = -78 + 0 32 + -10x = -78 Add '-32' to each side of the equation. 32 + -32 + -10x = -78 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = -78 + -32 -10x = -78 + -32 Combine like terms: -78 + -32 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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