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Simplifying (9x + 4) + (4x + 1) = 83 Reorder the terms: (4 + 9x) + (4x + 1) = 83 Remove parenthesis around (4 + 9x) 4 + 9x + (4x + 1) = 83 Reorder the terms: 4 + 9x + (1 + 4x) = 83 Remove parenthesis around (1 + 4x) 4 + 9x + 1 + 4x = 83 Reorder the terms: 4 + 1 + 9x + 4x = 83 Combine like terms: 4 + 1 = 5 5 + 9x + 4x = 83 Combine like terms: 9x + 4x = 13x 5 + 13x = 83 Solving 5 + 13x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 13x = 83 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 83 + -5 13x = 83 + -5 Combine like terms: 83 + -5 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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