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Simplifying -6(x + -2) + 4(3 + -6x) = -32 Reorder the terms: -6(-2 + x) + 4(3 + -6x) = -32 (-2 * -6 + x * -6) + 4(3 + -6x) = -32 (12 + -6x) + 4(3 + -6x) = -32 12 + -6x + (3 * 4 + -6x * 4) = -32 12 + -6x + (12 + -24x) = -32 Reorder the terms: 12 + 12 + -6x + -24x = -32 Combine like terms: 12 + 12 = 24 24 + -6x + -24x = -32 Combine like terms: -6x + -24x = -30x 24 + -30x = -32 Solving 24 + -30x = -32 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 + -30x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -30x = -32 + -24 -30x = -32 + -24 Combine like terms: -32 + -24 = -56 -30x = -56 Divide each side by '-30'. x = 1.866666667 Simplifying x = 1.866666667
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