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Simplifying 107 + 7x = 82 + 13x Solving 107 + 7x = 82 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 107 + 7x + -13x = 82 + 13x + -13x Combine like terms: 7x + -13x = -6x 107 + -6x = 82 + 13x + -13x Combine like terms: 13x + -13x = 0 107 + -6x = 82 + 0 107 + -6x = 82 Add '-107' to each side of the equation. 107 + -107 + -6x = 82 + -107 Combine like terms: 107 + -107 = 0 0 + -6x = 82 + -107 -6x = 82 + -107 Combine like terms: 82 + -107 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667
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