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