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Simplifying -5(x + -2) + -6(x + -8) = 150 Reorder the terms: -5(-2 + x) + -6(x + -8) = 150 (-2 * -5 + x * -5) + -6(x + -8) = 150 (10 + -5x) + -6(x + -8) = 150 Reorder the terms: 10 + -5x + -6(-8 + x) = 150 10 + -5x + (-8 * -6 + x * -6) = 150 10 + -5x + (48 + -6x) = 150 Reorder the terms: 10 + 48 + -5x + -6x = 150 Combine like terms: 10 + 48 = 58 58 + -5x + -6x = 150 Combine like terms: -5x + -6x = -11x 58 + -11x = 150 Solving 58 + -11x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -11x = 150 + -58 Combine like terms: 58 + -58 = 0 0 + -11x = 150 + -58 -11x = 150 + -58 Combine like terms: 150 + -58 = 92 -11x = 92 Divide each side by '-11'. x = -8.363636364 Simplifying x = -8.363636364
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