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Simplifying -5x + -6(x + -18) = 42 Reorder the terms: -5x + -6(-18 + x) = 42 -5x + (-18 * -6 + x * -6) = 42 -5x + (108 + -6x) = 42 Reorder the terms: 108 + -5x + -6x = 42 Combine like terms: -5x + -6x = -11x 108 + -11x = 42 Solving 108 + -11x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -11x = 42 + -108 Combine like terms: 108 + -108 = 0 0 + -11x = 42 + -108 -11x = 42 + -108 Combine like terms: 42 + -108 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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