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Simplifying 3(4x + -2) = -4(2x + -3) Reorder the terms: 3(-2 + 4x) = -4(2x + -3) (-2 * 3 + 4x * 3) = -4(2x + -3) (-6 + 12x) = -4(2x + -3) Reorder the terms: -6 + 12x = -4(-3 + 2x) -6 + 12x = (-3 * -4 + 2x * -4) -6 + 12x = (12 + -8x) Solving -6 + 12x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 12x + 8x = 12 + -8x + 8x Combine like terms: 12x + 8x = 20x -6 + 20x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 20x = 12 + 0 -6 + 20x = 12 Add '6' to each side of the equation. -6 + 6 + 20x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = 12 + 6 20x = 12 + 6 Combine like terms: 12 + 6 = 18 20x = 18 Divide each side by '20'. x = 0.9 Simplifying x = 0.9
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