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