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Simplifying 4(3x + -2) = 6(x + -3) Reorder the terms: 4(-2 + 3x) = 6(x + -3) (-2 * 4 + 3x * 4) = 6(x + -3) (-8 + 12x) = 6(x + -3) Reorder the terms: -8 + 12x = 6(-3 + x) -8 + 12x = (-3 * 6 + x * 6) -8 + 12x = (-18 + 6x) Solving -8 + 12x = -18 + 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. -8 + 12x + -6x = -18 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = -18 + 0 -8 + 6x = -18 Add '8' to each side of the equation. -8 + 8 + 6x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -18 + 8 6x = -18 + 8 Combine like terms: -18 + 8 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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