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Simplifying 6x + 8 + -5x = 10 + -11x + -12 Reorder the terms: 8 + 6x + -5x = 10 + -11x + -12 Combine like terms: 6x + -5x = 1x 8 + 1x = 10 + -11x + -12 Reorder the terms: 8 + 1x = 10 + -12 + -11x Combine like terms: 10 + -12 = -2 8 + 1x = -2 + -11x Solving 8 + 1x = -2 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 8 + 1x + 11x = -2 + -11x + 11x Combine like terms: 1x + 11x = 12x 8 + 12x = -2 + -11x + 11x Combine like terms: -11x + 11x = 0 8 + 12x = -2 + 0 8 + 12x = -2 Add '-8' to each side of the equation. 8 + -8 + 12x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -2 + -8 12x = -2 + -8 Combine like terms: -2 + -8 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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