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Simplifying 3(4x + -2) = -2(2x + 1) Reorder the terms: 3(-2 + 4x) = -2(2x + 1) (-2 * 3 + 4x * 3) = -2(2x + 1) (-6 + 12x) = -2(2x + 1) Reorder the terms: -6 + 12x = -2(1 + 2x) -6 + 12x = (1 * -2 + 2x * -2) -6 + 12x = (-2 + -4x) Solving -6 + 12x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 12x + 4x = -2 + -4x + 4x Combine like terms: 12x + 4x = 16x -6 + 16x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 16x = -2 + 0 -6 + 16x = -2 Add '6' to each side of the equation. -6 + 6 + 16x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -2 + 6 16x = -2 + 6 Combine like terms: -2 + 6 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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