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Simplifying 4(5 + -3x) = 2(6x + 5) (5 * 4 + -3x * 4) = 2(6x + 5) (20 + -12x) = 2(6x + 5) Reorder the terms: 20 + -12x = 2(5 + 6x) 20 + -12x = (5 * 2 + 6x * 2) 20 + -12x = (10 + 12x) Solving 20 + -12x = 10 + 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 + -12x + -12x = 10 + 12x + -12x Combine like terms: -12x + -12x = -24x 20 + -24x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -24x = 10 + 0 20 + -24x = 10 Add '-20' to each side of the equation. 20 + -20 + -24x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -24x = 10 + -20 -24x = 10 + -20 Combine like terms: 10 + -20 = -10 -24x = -10 Divide each side by '-24'. x = 0.4166666667 Simplifying x = 0.4166666667
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