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Simplifying 2x + 6 + 5 = 8x + -12 Reorder the terms: 6 + 5 + 2x = 8x + -12 Combine like terms: 6 + 5 = 11 11 + 2x = 8x + -12 Reorder the terms: 11 + 2x = -12 + 8x Solving 11 + 2x = -12 + 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 = -12 + 8x + -8x Combine like terms: 2x + -8x = -6x 11 + -6x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -6x = -12 + 0 11 + -6x = -12 Add '-11' to each side of the equation. 11 + -11 + -6x = -12 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = -12 + -11 -6x = -12 + -11 Combine like terms: -12 + -11 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333
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