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Simplifying 4(3x + -2) = -2(x + 4) Reorder the terms: 4(-2 + 3x) = -2(x + 4) (-2 * 4 + 3x * 4) = -2(x + 4) (-8 + 12x) = -2(x + 4) Reorder the terms: -8 + 12x = -2(4 + x) -8 + 12x = (4 * -2 + x * -2) -8 + 12x = (-8 + -2x) Add '8' to each side of the equation. -8 + 8 + 12x = -8 + 8 + -2x Combine like terms: -8 + 8 = 0 0 + 12x = -8 + 8 + -2x 12x = -8 + 8 + -2x Combine like terms: -8 + 8 = 0 12x = 0 + -2x 12x = -2x Solving 12x = -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. 12x + 2x = -2x + 2x Combine like terms: 12x + 2x = 14x 14x = -2x + 2x Combine like terms: -2x + 2x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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