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Simplifying 2x + 11 = (8x + -12) + 10 Reorder the terms: 11 + 2x = (8x + -12) + 10 Reorder the terms: 11 + 2x = (-12 + 8x) + 10 Remove parenthesis around (-12 + 8x) 11 + 2x = -12 + 8x + 10 Reorder the terms: 11 + 2x = -12 + 10 + 8x Combine like terms: -12 + 10 = -2 11 + 2x = -2 + 8x Solving 11 + 2x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 2x + -8x = -2 + 8x + -8x Combine like terms: 2x + -8x = -6x 11 + -6x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -6x = -2 + 0 11 + -6x = -2 Add '-11' to each side of the equation. 11 + -11 + -6x = -2 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = -2 + -11 -6x = -2 + -11 Combine like terms: -2 + -11 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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