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Simplifying (8x + 5) + (5x + -9) = 74 Reorder the terms: (5 + 8x) + (5x + -9) = 74 Remove parenthesis around (5 + 8x) 5 + 8x + (5x + -9) = 74 Reorder the terms: 5 + 8x + (-9 + 5x) = 74 Remove parenthesis around (-9 + 5x) 5 + 8x + -9 + 5x = 74 Reorder the terms: 5 + -9 + 8x + 5x = 74 Combine like terms: 5 + -9 = -4 -4 + 8x + 5x = 74 Combine like terms: 8x + 5x = 13x -4 + 13x = 74 Solving -4 + 13x = 74 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 + 13x = 74 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 74 + 4 13x = 74 + 4 Combine like terms: 74 + 4 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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