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Simplifying 10x + -8x + 12 = 11x + -6 Reorder the terms: 12 + 10x + -8x = 11x + -6 Combine like terms: 10x + -8x = 2x 12 + 2x = 11x + -6 Reorder the terms: 12 + 2x = -6 + 11x Solving 12 + 2x = -6 + 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. 12 + 2x + -11x = -6 + 11x + -11x Combine like terms: 2x + -11x = -9x 12 + -9x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + -9x = -6 + 0 12 + -9x = -6 Add '-12' to each side of the equation. 12 + -12 + -9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -6 + -12 -9x = -6 + -12 Combine like terms: -6 + -12 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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