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Simplifying x + -78 = 65 + 12x Reorder the terms: -78 + x = 65 + 12x Solving -78 + x = 65 + 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. -78 + x + -12x = 65 + 12x + -12x Combine like terms: x + -12x = -11x -78 + -11x = 65 + 12x + -12x Combine like terms: 12x + -12x = 0 -78 + -11x = 65 + 0 -78 + -11x = 65 Add '78' to each side of the equation. -78 + 78 + -11x = 65 + 78 Combine like terms: -78 + 78 = 0 0 + -11x = 65 + 78 -11x = 65 + 78 Combine like terms: 65 + 78 = 143 -11x = 143 Divide each side by '-11'. x = -13 Simplifying x = -13
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