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