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Simplifying x + 2(3 + -1x) = -3(x + 2) + -4 x + (3 * 2 + -1x * 2) = -3(x + 2) + -4 x + (6 + -2x) = -3(x + 2) + -4 Reorder the terms: 6 + x + -2x = -3(x + 2) + -4 Combine like terms: x + -2x = -1x 6 + -1x = -3(x + 2) + -4 Reorder the terms: 6 + -1x = -3(2 + x) + -4 6 + -1x = (2 * -3 + x * -3) + -4 6 + -1x = (-6 + -3x) + -4 Reorder the terms: 6 + -1x = -6 + -4 + -3x Combine like terms: -6 + -4 = -10 6 + -1x = -10 + -3x Solving 6 + -1x = -10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -1x + 3x = -10 + -3x + 3x Combine like terms: -1x + 3x = 2x 6 + 2x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 2x = -10 + 0 6 + 2x = -10 Add '-6' to each side of the equation. 6 + -6 + 2x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -10 + -6 2x = -10 + -6 Combine like terms: -10 + -6 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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