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Simplifying 35x + 83 + -15x = 3x + 89 + 8x + 101 Reorder the terms: 83 + 35x + -15x = 3x + 89 + 8x + 101 Combine like terms: 35x + -15x = 20x 83 + 20x = 3x + 89 + 8x + 101 Reorder the terms: 83 + 20x = 89 + 101 + 3x + 8x Combine like terms: 89 + 101 = 190 83 + 20x = 190 + 3x + 8x Combine like terms: 3x + 8x = 11x 83 + 20x = 190 + 11x Solving 83 + 20x = 190 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 83 + 20x + -11x = 190 + 11x + -11x Combine like terms: 20x + -11x = 9x 83 + 9x = 190 + 11x + -11x Combine like terms: 11x + -11x = 0 83 + 9x = 190 + 0 83 + 9x = 190 Add '-83' to each side of the equation. 83 + -83 + 9x = 190 + -83 Combine like terms: 83 + -83 = 0 0 + 9x = 190 + -83 9x = 190 + -83 Combine like terms: 190 + -83 = 107 9x = 107 Divide each side by '9'. x = 11.88888889 Simplifying x = 11.88888889
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