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Simplifying 3(6x + 3) + -5(6x + -5) = 20 Reorder the terms: 3(3 + 6x) + -5(6x + -5) = 20 (3 * 3 + 6x * 3) + -5(6x + -5) = 20 (9 + 18x) + -5(6x + -5) = 20 Reorder the terms: 9 + 18x + -5(-5 + 6x) = 20 9 + 18x + (-5 * -5 + 6x * -5) = 20 9 + 18x + (25 + -30x) = 20 Reorder the terms: 9 + 25 + 18x + -30x = 20 Combine like terms: 9 + 25 = 34 34 + 18x + -30x = 20 Combine like terms: 18x + -30x = -12x 34 + -12x = 20 Solving 34 + -12x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -12x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -12x = 20 + -34 -12x = 20 + -34 Combine like terms: 20 + -34 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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