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Simplifying 4(3x + -2) = -6(-3x + 12) Reorder the terms: 4(-2 + 3x) = -6(-3x + 12) (-2 * 4 + 3x * 4) = -6(-3x + 12) (-8 + 12x) = -6(-3x + 12) Reorder the terms: -8 + 12x = -6(12 + -3x) -8 + 12x = (12 * -6 + -3x * -6) -8 + 12x = (-72 + 18x) Solving -8 + 12x = -72 + 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 + 12x + -18x = -72 + 18x + -18x Combine like terms: 12x + -18x = -6x -8 + -6x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + -6x = -72 + 0 -8 + -6x = -72 Add '8' to each side of the equation. -8 + 8 + -6x = -72 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -72 + 8 -6x = -72 + 8 Combine like terms: -72 + 8 = -64 -6x = -64 Divide each side by '-6'. x = 10.66666667 Simplifying x = 10.66666667
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