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Simplifying -6(x + -2) + -1(8x + -12) = 68 Reorder the terms: -6(-2 + x) + -1(8x + -12) = 68 (-2 * -6 + x * -6) + -1(8x + -12) = 68 (12 + -6x) + -1(8x + -12) = 68 Reorder the terms: 12 + -6x + -1(-12 + 8x) = 68 12 + -6x + (-12 * -1 + 8x * -1) = 68 12 + -6x + (12 + -8x) = 68 Reorder the terms: 12 + 12 + -6x + -8x = 68 Combine like terms: 12 + 12 = 24 24 + -6x + -8x = 68 Combine like terms: -6x + -8x = -14x 24 + -14x = 68 Solving 24 + -14x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -14x = 68 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = 68 + -24 -14x = 68 + -24 Combine like terms: 68 + -24 = 44 -14x = 44 Divide each side by '-14'. x = -3.142857143 Simplifying x = -3.142857143
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