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Simplifying 3(2x + -1) = -2(x + 4) Reorder the terms: 3(-1 + 2x) = -2(x + 4) (-1 * 3 + 2x * 3) = -2(x + 4) (-3 + 6x) = -2(x + 4) Reorder the terms: -3 + 6x = -2(4 + x) -3 + 6x = (4 * -2 + x * -2) -3 + 6x = (-8 + -2x) Solving -3 + 6x = -8 + -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. -3 + 6x + 2x = -8 + -2x + 2x Combine like terms: 6x + 2x = 8x -3 + 8x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 8x = -8 + 0 -3 + 8x = -8 Add '3' to each side of the equation. -3 + 3 + 8x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -8 + 3 8x = -8 + 3 Combine like terms: -8 + 3 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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