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Simplifying 4(3x + -6) = -2(x + -3) Reorder the terms: 4(-6 + 3x) = -2(x + -3) (-6 * 4 + 3x * 4) = -2(x + -3) (-24 + 12x) = -2(x + -3) Reorder the terms: -24 + 12x = -2(-3 + x) -24 + 12x = (-3 * -2 + x * -2) -24 + 12x = (6 + -2x) Solving -24 + 12x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + 12x + 2x = 6 + -2x + 2x Combine like terms: 12x + 2x = 14x -24 + 14x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 14x = 6 + 0 -24 + 14x = 6 Add '24' to each side of the equation. -24 + 24 + 14x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 6 + 24 14x = 6 + 24 Combine like terms: 6 + 24 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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