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Simplifying -3(4 + -1x) + -2 = -2(2 + x) (4 * -3 + -1x * -3) + -2 = -2(2 + x) (-12 + 3x) + -2 = -2(2 + x) Reorder the terms: -12 + -2 + 3x = -2(2 + x) Combine like terms: -12 + -2 = -14 -14 + 3x = -2(2 + x) -14 + 3x = (2 * -2 + x * -2) -14 + 3x = (-4 + -2x) Solving -14 + 3x = -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. -14 + 3x + 2x = -4 + -2x + 2x Combine like terms: 3x + 2x = 5x -14 + 5x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 5x = -4 + 0 -14 + 5x = -4 Add '14' to each side of the equation. -14 + 14 + 5x = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -4 + 14 5x = -4 + 14 Combine like terms: -4 + 14 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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