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Simplifying -6(x + -2) + -1(x + 9) = 11 Reorder the terms: -6(-2 + x) + -1(x + 9) = 11 (-2 * -6 + x * -6) + -1(x + 9) = 11 (12 + -6x) + -1(x + 9) = 11 Reorder the terms: 12 + -6x + -1(9 + x) = 11 12 + -6x + (9 * -1 + x * -1) = 11 12 + -6x + (-9 + -1x) = 11 Reorder the terms: 12 + -9 + -6x + -1x = 11 Combine like terms: 12 + -9 = 3 3 + -6x + -1x = 11 Combine like terms: -6x + -1x = -7x 3 + -7x = 11 Solving 3 + -7x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 11 + -3 -7x = 11 + -3 Combine like terms: 11 + -3 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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