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Simplifying (9x + -8) = (7x + -32) + (5x + -27) Reorder the terms: (-8 + 9x) = (7x + -32) + (5x + -27) Remove parenthesis around (-8 + 9x) -8 + 9x = (7x + -32) + (5x + -27) Reorder the terms: -8 + 9x = (-32 + 7x) + (5x + -27) Remove parenthesis around (-32 + 7x) -8 + 9x = -32 + 7x + (5x + -27) Reorder the terms: -8 + 9x = -32 + 7x + (-27 + 5x) Remove parenthesis around (-27 + 5x) -8 + 9x = -32 + 7x + -27 + 5x Reorder the terms: -8 + 9x = -32 + -27 + 7x + 5x Combine like terms: -32 + -27 = -59 -8 + 9x = -59 + 7x + 5x Combine like terms: 7x + 5x = 12x -8 + 9x = -59 + 12x Solving -8 + 9x = -59 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 9x + -12x = -59 + 12x + -12x Combine like terms: 9x + -12x = -3x -8 + -3x = -59 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -3x = -59 + 0 -8 + -3x = -59 Add '8' to each side of the equation. -8 + 8 + -3x = -59 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -59 + 8 -3x = -59 + 8 Combine like terms: -59 + 8 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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