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Simplifying 2 + 3(x + -1) + 6(x + 2) = 5 Reorder the terms: 2 + 3(-1 + x) + 6(x + 2) = 5 2 + (-1 * 3 + x * 3) + 6(x + 2) = 5 2 + (-3 + 3x) + 6(x + 2) = 5 Reorder the terms: 2 + -3 + 3x + 6(2 + x) = 5 2 + -3 + 3x + (2 * 6 + x * 6) = 5 2 + -3 + 3x + (12 + 6x) = 5 Reorder the terms: 2 + -3 + 12 + 3x + 6x = 5 Combine like terms: 2 + -3 = -1 -1 + 12 + 3x + 6x = 5 Combine like terms: -1 + 12 = 11 11 + 3x + 6x = 5 Combine like terms: 3x + 6x = 9x 11 + 9x = 5 Solving 11 + 9x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 5 + -11 9x = 5 + -11 Combine like terms: 5 + -11 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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