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Simplifying 6(4 + -3x) = -2(3x + -5) (4 * 6 + -3x * 6) = -2(3x + -5) (24 + -18x) = -2(3x + -5) Reorder the terms: 24 + -18x = -2(-5 + 3x) 24 + -18x = (-5 * -2 + 3x * -2) 24 + -18x = (10 + -6x) Solving 24 + -18x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 24 + -18x + 6x = 10 + -6x + 6x Combine like terms: -18x + 6x = -12x 24 + -12x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + -12x = 10 + 0 24 + -12x = 10 Add '-24' to each side of the equation. 24 + -24 + -12x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = 10 + -24 -12x = 10 + -24 Combine like terms: 10 + -24 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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