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Simplifying 6x + -42 + 5x + -55 = 101 Reorder the terms: -42 + -55 + 6x + 5x = 101 Combine like terms: -42 + -55 = -97 -97 + 6x + 5x = 101 Combine like terms: 6x + 5x = 11x -97 + 11x = 101 Solving -97 + 11x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '97' to each side of the equation. -97 + 97 + 11x = 101 + 97 Combine like terms: -97 + 97 = 0 0 + 11x = 101 + 97 11x = 101 + 97 Combine like terms: 101 + 97 = 198 11x = 198 Divide each side by '11'. x = 18 Simplifying x = 18
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