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Simplifying x + -24 = 42 + 12x Reorder the terms: -24 + x = 42 + 12x Solving -24 + x = 42 + 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. -24 + x + -12x = 42 + 12x + -12x Combine like terms: x + -12x = -11x -24 + -11x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -11x = 42 + 0 -24 + -11x = 42 Add '24' to each side of the equation. -24 + 24 + -11x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + -11x = 42 + 24 -11x = 42 + 24 Combine like terms: 42 + 24 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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