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Simplifying (5x + 8) + (-13x + 9) = 0 Reorder the terms: (8 + 5x) + (-13x + 9) = 0 Remove parenthesis around (8 + 5x) 8 + 5x + (-13x + 9) = 0 Reorder the terms: 8 + 5x + (9 + -13x) = 0 Remove parenthesis around (9 + -13x) 8 + 5x + 9 + -13x = 0 Reorder the terms: 8 + 9 + 5x + -13x = 0 Combine like terms: 8 + 9 = 17 17 + 5x + -13x = 0 Combine like terms: 5x + -13x = -8x 17 + -8x = 0 Solving 17 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -8x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 0 + -17 -8x = 0 + -17 Combine like terms: 0 + -17 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125
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