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Simplifying 2x + 97 = 5x + 40 Reorder the terms: 97 + 2x = 5x + 40 Reorder the terms: 97 + 2x = 40 + 5x Solving 97 + 2x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 97 + 2x + -5x = 40 + 5x + -5x Combine like terms: 2x + -5x = -3x 97 + -3x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 97 + -3x = 40 + 0 97 + -3x = 40 Add '-97' to each side of the equation. 97 + -97 + -3x = 40 + -97 Combine like terms: 97 + -97 = 0 0 + -3x = 40 + -97 -3x = 40 + -97 Combine like terms: 40 + -97 = -57 -3x = -57 Divide each side by '-3'. x = 19 Simplifying x = 19
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