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Simplifying 2(3x + -1) = -2(x + 2) Reorder the terms: 2(-1 + 3x) = -2(x + 2) (-1 * 2 + 3x * 2) = -2(x + 2) (-2 + 6x) = -2(x + 2) Reorder the terms: -2 + 6x = -2(2 + x) -2 + 6x = (2 * -2 + x * -2) -2 + 6x = (-4 + -2x) Solving -2 + 6x = -4 + -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. -2 + 6x + 2x = -4 + -2x + 2x Combine like terms: 6x + 2x = 8x -2 + 8x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 8x = -4 + 0 -2 + 8x = -4 Add '2' to each side of the equation. -2 + 2 + 8x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -4 + 2 8x = -4 + 2 Combine like terms: -4 + 2 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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