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Simplifying 4x + 7 = 97 + -5x Reorder the terms: 7 + 4x = 97 + -5x Solving 7 + 4x = 97 + -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. 7 + 4x + 5x = 97 + -5x + 5x Combine like terms: 4x + 5x = 9x 7 + 9x = 97 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 9x = 97 + 0 7 + 9x = 97 Add '-7' to each side of the equation. 7 + -7 + 9x = 97 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 97 + -7 9x = 97 + -7 Combine like terms: 97 + -7 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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