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Simplifying x + 97 = 2x + 32 Reorder the terms: 97 + x = 2x + 32 Reorder the terms: 97 + x = 32 + 2x Solving 97 + x = 32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 97 + x + -2x = 32 + 2x + -2x Combine like terms: x + -2x = -1x 97 + -1x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 97 + -1x = 32 + 0 97 + -1x = 32 Add '-97' to each side of the equation. 97 + -97 + -1x = 32 + -97 Combine like terms: 97 + -97 = 0 0 + -1x = 32 + -97 -1x = 32 + -97 Combine like terms: 32 + -97 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65
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