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Simplifying 42 + 55 = x + -34 Combine like terms: 42 + 55 = 97 97 = x + -34 Reorder the terms: 97 = -34 + x Solving 97 = -34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 97 + -1x = -34 + x + -1x Combine like terms: x + -1x = 0 97 + -1x = -34 + 0 97 + -1x = -34 Add '-97' to each side of the equation. 97 + -97 + -1x = -34 + -97 Combine like terms: 97 + -97 = 0 0 + -1x = -34 + -97 -1x = -34 + -97 Combine like terms: -34 + -97 = -131 -1x = -131 Divide each side by '-1'. x = 131 Simplifying x = 131
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