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Simplifying (3x + 31) + (5x + -27) = 90 Reorder the terms: (31 + 3x) + (5x + -27) = 90 Remove parenthesis around (31 + 3x) 31 + 3x + (5x + -27) = 90 Reorder the terms: 31 + 3x + (-27 + 5x) = 90 Remove parenthesis around (-27 + 5x) 31 + 3x + -27 + 5x = 90 Reorder the terms: 31 + -27 + 3x + 5x = 90 Combine like terms: 31 + -27 = 4 4 + 3x + 5x = 90 Combine like terms: 3x + 5x = 8x 4 + 8x = 90 Solving 4 + 8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8x = 90 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 90 + -4 8x = 90 + -4 Combine like terms: 90 + -4 = 86 8x = 86 Divide each side by '8'. x = 10.75 Simplifying x = 10.75
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