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Simplifying (3x + 55) + (5x + 83) = 154 Reorder the terms: (55 + 3x) + (5x + 83) = 154 Remove parenthesis around (55 + 3x) 55 + 3x + (5x + 83) = 154 Reorder the terms: 55 + 3x + (83 + 5x) = 154 Remove parenthesis around (83 + 5x) 55 + 3x + 83 + 5x = 154 Reorder the terms: 55 + 83 + 3x + 5x = 154 Combine like terms: 55 + 83 = 138 138 + 3x + 5x = 154 Combine like terms: 3x + 5x = 8x 138 + 8x = 154 Solving 138 + 8x = 154 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + 8x = 154 + -138 Combine like terms: 138 + -138 = 0 0 + 8x = 154 + -138 8x = 154 + -138 Combine like terms: 154 + -138 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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