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Simplifying -6x + -12 = 5x + 10 Reorder the terms: -12 + -6x = 5x + 10 Reorder the terms: -12 + -6x = 10 + 5x Solving -12 + -6x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -6x + -5x = 10 + 5x + -5x Combine like terms: -6x + -5x = -11x -12 + -11x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -11x = 10 + 0 -12 + -11x = 10 Add '12' to each side of the equation. -12 + 12 + -11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 10 + 12 -11x = 10 + 12 Combine like terms: 10 + 12 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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