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Simplifying 2(3x + -4) = -1(x + 2) Reorder the terms: 2(-4 + 3x) = -1(x + 2) (-4 * 2 + 3x * 2) = -1(x + 2) (-8 + 6x) = -1(x + 2) Reorder the terms: -8 + 6x = -1(2 + x) -8 + 6x = (2 * -1 + x * -1) -8 + 6x = (-2 + -1x) Solving -8 + 6x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 6x + x = -2 + -1x + x Combine like terms: 6x + x = 7x -8 + 7x = -2 + -1x + x Combine like terms: -1x + x = 0 -8 + 7x = -2 + 0 -8 + 7x = -2 Add '8' to each side of the equation. -8 + 8 + 7x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -2 + 8 7x = -2 + 8 Combine like terms: -2 + 8 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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