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Simplifying 2(3x + -4) = -3(4 + -6x) Reorder the terms: 2(-4 + 3x) = -3(4 + -6x) (-4 * 2 + 3x * 2) = -3(4 + -6x) (-8 + 6x) = -3(4 + -6x) -8 + 6x = (4 * -3 + -6x * -3) -8 + 6x = (-12 + 18x) Solving -8 + 6x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -8 + 6x + -18x = -12 + 18x + -18x Combine like terms: 6x + -18x = -12x -8 + -12x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + -12x = -12 + 0 -8 + -12x = -12 Add '8' to each side of the equation. -8 + 8 + -12x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -12 + 8 -12x = -12 + 8 Combine like terms: -12 + 8 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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