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Simplifying (5x + 2) + (3x + 40) = 90 Reorder the terms: (2 + 5x) + (3x + 40) = 90 Remove parenthesis around (2 + 5x) 2 + 5x + (3x + 40) = 90 Reorder the terms: 2 + 5x + (40 + 3x) = 90 Remove parenthesis around (40 + 3x) 2 + 5x + 40 + 3x = 90 Reorder the terms: 2 + 40 + 5x + 3x = 90 Combine like terms: 2 + 40 = 42 42 + 5x + 3x = 90 Combine like terms: 5x + 3x = 8x 42 + 8x = 90 Solving 42 + 8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 8x = 90 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 90 + -42 8x = 90 + -42 Combine like terms: 90 + -42 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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