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