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Simplifying -5(3x + -4) = 2(9 + -6x) Reorder the terms: -5(-4 + 3x) = 2(9 + -6x) (-4 * -5 + 3x * -5) = 2(9 + -6x) (20 + -15x) = 2(9 + -6x) 20 + -15x = (9 * 2 + -6x * 2) 20 + -15x = (18 + -12x) Solving 20 + -15x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 20 + -15x + 12x = 18 + -12x + 12x Combine like terms: -15x + 12x = -3x 20 + -3x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 20 + -3x = 18 + 0 20 + -3x = 18 Add '-20' to each side of the equation. 20 + -20 + -3x = 18 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 18 + -20 -3x = 18 + -20 Combine like terms: 18 + -20 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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