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Simplifying 3 + -6(x + -1) = 2x + -2(x + 1) Reorder the terms: 3 + -6(-1 + x) = 2x + -2(x + 1) 3 + (-1 * -6 + x * -6) = 2x + -2(x + 1) 3 + (6 + -6x) = 2x + -2(x + 1) Combine like terms: 3 + 6 = 9 9 + -6x = 2x + -2(x + 1) Reorder the terms: 9 + -6x = 2x + -2(1 + x) 9 + -6x = 2x + (1 * -2 + x * -2) 9 + -6x = 2x + (-2 + -2x) Reorder the terms: 9 + -6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -6x = -2 + 0 9 + -6x = -2 Solving 9 + -6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -6x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -2 + -9 -6x = -2 + -9 Combine like terms: -2 + -9 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333
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