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Simplifying 3(2x + -1) = -2(4x + 3) Reorder the terms: 3(-1 + 2x) = -2(4x + 3) (-1 * 3 + 2x * 3) = -2(4x + 3) (-3 + 6x) = -2(4x + 3) Reorder the terms: -3 + 6x = -2(3 + 4x) -3 + 6x = (3 * -2 + 4x * -2) -3 + 6x = (-6 + -8x) Solving -3 + 6x = -6 + -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. -3 + 6x + 8x = -6 + -8x + 8x Combine like terms: 6x + 8x = 14x -3 + 14x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 14x = -6 + 0 -3 + 14x = -6 Add '3' to each side of the equation. -3 + 3 + 14x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = -6 + 3 14x = -6 + 3 Combine like terms: -6 + 3 = -3 14x = -3 Divide each side by '14'. x = -0.2142857143 Simplifying x = -0.2142857143
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