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Simplifying 6(3x + -4) = 12 + -2(6x + -4) Reorder the terms: 6(-4 + 3x) = 12 + -2(6x + -4) (-4 * 6 + 3x * 6) = 12 + -2(6x + -4) (-24 + 18x) = 12 + -2(6x + -4) Reorder the terms: -24 + 18x = 12 + -2(-4 + 6x) -24 + 18x = 12 + (-4 * -2 + 6x * -2) -24 + 18x = 12 + (8 + -12x) Combine like terms: 12 + 8 = 20 -24 + 18x = 20 + -12x Solving -24 + 18x = 20 + -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. -24 + 18x + 12x = 20 + -12x + 12x Combine like terms: 18x + 12x = 30x -24 + 30x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 30x = 20 + 0 -24 + 30x = 20 Add '24' to each side of the equation. -24 + 24 + 30x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 30x = 20 + 24 30x = 20 + 24 Combine like terms: 20 + 24 = 44 30x = 44 Divide each side by '30'. x = 1.466666667 Simplifying x = 1.466666667
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