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Simplifying -2(3x + -4) = -3(x + 2) Reorder the terms: -2(-4 + 3x) = -3(x + 2) (-4 * -2 + 3x * -2) = -3(x + 2) (8 + -6x) = -3(x + 2) Reorder the terms: 8 + -6x = -3(2 + x) 8 + -6x = (2 * -3 + x * -3) 8 + -6x = (-6 + -3x) Solving 8 + -6x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -6x + 3x = -6 + -3x + 3x Combine like terms: -6x + 3x = -3x 8 + -3x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -3x = -6 + 0 8 + -3x = -6 Add '-8' to each side of the equation. 8 + -8 + -3x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -6 + -8 -3x = -6 + -8 Combine like terms: -6 + -8 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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