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Simplifying x * 2 + 97 = x * 7 + -13 Reorder the terms for easier multiplication: 2x + 97 = x * 7 + -13 Reorder the terms: 97 + 2x = x * 7 + -13 Reorder the terms for easier multiplication: 97 + 2x = 7x + -13 Reorder the terms: 97 + 2x = -13 + 7x Solving 97 + 2x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 97 + 2x + -7x = -13 + 7x + -7x Combine like terms: 2x + -7x = -5x 97 + -5x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 97 + -5x = -13 + 0 97 + -5x = -13 Add '-97' to each side of the equation. 97 + -97 + -5x = -13 + -97 Combine like terms: 97 + -97 = 0 0 + -5x = -13 + -97 -5x = -13 + -97 Combine like terms: -13 + -97 = -110 -5x = -110 Divide each side by '-5'. x = 22 Simplifying x = 22
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