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Simplifying (5x + -8) + -1(8x + 9) = 0 Reorder the terms: (-8 + 5x) + -1(8x + 9) = 0 Remove parenthesis around (-8 + 5x) -8 + 5x + -1(8x + 9) = 0 Reorder the terms: -8 + 5x + -1(9 + 8x) = 0 -8 + 5x + (9 * -1 + 8x * -1) = 0 -8 + 5x + (-9 + -8x) = 0 Reorder the terms: -8 + -9 + 5x + -8x = 0 Combine like terms: -8 + -9 = -17 -17 + 5x + -8x = 0 Combine like terms: 5x + -8x = -3x -17 + -3x = 0 Solving -17 + -3x = 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 + -3x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 0 + 17 -3x = 0 + 17 Combine like terms: 0 + 17 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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