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Simplifying 83 + -4x = 7x + -17 Reorder the terms: 83 + -4x = -17 + 7x Solving 83 + -4x = -17 + 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. 83 + -4x + -7x = -17 + 7x + -7x Combine like terms: -4x + -7x = -11x 83 + -11x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 83 + -11x = -17 + 0 83 + -11x = -17 Add '-83' to each side of the equation. 83 + -83 + -11x = -17 + -83 Combine like terms: 83 + -83 = 0 0 + -11x = -17 + -83 -11x = -17 + -83 Combine like terms: -17 + -83 = -100 -11x = -100 Divide each side by '-11'. x = 9.090909091 Simplifying x = 9.090909091
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