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Simplifying 6(5x + 6) + -3(6x + -12) = -20 Reorder the terms: 6(6 + 5x) + -3(6x + -12) = -20 (6 * 6 + 5x * 6) + -3(6x + -12) = -20 (36 + 30x) + -3(6x + -12) = -20 Reorder the terms: 36 + 30x + -3(-12 + 6x) = -20 36 + 30x + (-12 * -3 + 6x * -3) = -20 36 + 30x + (36 + -18x) = -20 Reorder the terms: 36 + 36 + 30x + -18x = -20 Combine like terms: 36 + 36 = 72 72 + 30x + -18x = -20 Combine like terms: 30x + -18x = 12x 72 + 12x = -20 Solving 72 + 12x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 12x = -20 + -72 Combine like terms: 72 + -72 = 0 0 + 12x = -20 + -72 12x = -20 + -72 Combine like terms: -20 + -72 = -92 12x = -92 Divide each side by '12'. x = -7.666666667 Simplifying x = -7.666666667
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