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Simplifying 7x + 13 = 97 + -6x Reorder the terms: 13 + 7x = 97 + -6x Solving 13 + 7x = 97 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 13 + 7x + 6x = 97 + -6x + 6x Combine like terms: 7x + 6x = 13x 13 + 13x = 97 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 13x = 97 + 0 13 + 13x = 97 Add '-13' to each side of the equation. 13 + -13 + 13x = 97 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = 97 + -13 13x = 97 + -13 Combine like terms: 97 + -13 = 84 13x = 84 Divide each side by '13'. x = 6.461538462 Simplifying x = 6.461538462
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