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Simplifying 2(x + -1) = -3(2x + 4) Reorder the terms: 2(-1 + x) = -3(2x + 4) (-1 * 2 + x * 2) = -3(2x + 4) (-2 + 2x) = -3(2x + 4) Reorder the terms: -2 + 2x = -3(4 + 2x) -2 + 2x = (4 * -3 + 2x * -3) -2 + 2x = (-12 + -6x) Solving -2 + 2x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 2x + 6x = -12 + -6x + 6x Combine like terms: 2x + 6x = 8x -2 + 8x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 8x = -12 + 0 -2 + 8x = -12 Add '2' to each side of the equation. -2 + 2 + 8x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -12 + 2 8x = -12 + 2 Combine like terms: -12 + 2 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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