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Simplifying (5x + -8) + (8x + -27) = 69 Reorder the terms: (-8 + 5x) + (8x + -27) = 69 Remove parenthesis around (-8 + 5x) -8 + 5x + (8x + -27) = 69 Reorder the terms: -8 + 5x + (-27 + 8x) = 69 Remove parenthesis around (-27 + 8x) -8 + 5x + -27 + 8x = 69 Reorder the terms: -8 + -27 + 5x + 8x = 69 Combine like terms: -8 + -27 = -35 -35 + 5x + 8x = 69 Combine like terms: 5x + 8x = 13x -35 + 13x = 69 Solving -35 + 13x = 69 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 13x = 69 + 35 Combine like terms: -35 + 35 = 0 0 + 13x = 69 + 35 13x = 69 + 35 Combine like terms: 69 + 35 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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