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Simplifying (6x + -27) + (7x + -9) = 96 Reorder the terms: (-27 + 6x) + (7x + -9) = 96 Remove parenthesis around (-27 + 6x) -27 + 6x + (7x + -9) = 96 Reorder the terms: -27 + 6x + (-9 + 7x) = 96 Remove parenthesis around (-9 + 7x) -27 + 6x + -9 + 7x = 96 Reorder the terms: -27 + -9 + 6x + 7x = 96 Combine like terms: -27 + -9 = -36 -36 + 6x + 7x = 96 Combine like terms: 6x + 7x = 13x -36 + 13x = 96 Solving -36 + 13x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 13x = 96 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 96 + 36 13x = 96 + 36 Combine like terms: 96 + 36 = 132 13x = 132 Divide each side by '13'. x = 10.15384615 Simplifying x = 10.15384615
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