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Simplifying 2(4 + -1x) + 2x = -6x + -2 (4 * 2 + -1x * 2) + 2x = -6x + -2 (8 + -2x) + 2x = -6x + -2 Combine like terms: -2x + 2x = 0 8 + 0 = -6x + -2 8 = -6x + -2 Reorder the terms: 8 = -2 + -6x Solving 8 = -2 + -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. 8 + 6x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 6x = -2 + 0 8 + 6x = -2 Add '-8' to each side of the equation. 8 + -8 + 6x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -2 + -8 6x = -2 + -8 Combine like terms: -2 + -8 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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