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Simplifying 8x + (9x + -5) = 20x + -32 Reorder the terms: 8x + (-5 + 9x) = 20x + -32 Remove parenthesis around (-5 + 9x) 8x + -5 + 9x = 20x + -32 Reorder the terms: -5 + 8x + 9x = 20x + -32 Combine like terms: 8x + 9x = 17x -5 + 17x = 20x + -32 Reorder the terms: -5 + 17x = -32 + 20x Solving -5 + 17x = -32 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -5 + 17x + -20x = -32 + 20x + -20x Combine like terms: 17x + -20x = -3x -5 + -3x = -32 + 20x + -20x Combine like terms: 20x + -20x = 0 -5 + -3x = -32 + 0 -5 + -3x = -32 Add '5' to each side of the equation. -5 + 5 + -3x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -32 + 5 -3x = -32 + 5 Combine like terms: -32 + 5 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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