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Simplifying 2(2x + 3) + 3(3x + -6) = 85 Reorder the terms: 2(3 + 2x) + 3(3x + -6) = 85 (3 * 2 + 2x * 2) + 3(3x + -6) = 85 (6 + 4x) + 3(3x + -6) = 85 Reorder the terms: 6 + 4x + 3(-6 + 3x) = 85 6 + 4x + (-6 * 3 + 3x * 3) = 85 6 + 4x + (-18 + 9x) = 85 Reorder the terms: 6 + -18 + 4x + 9x = 85 Combine like terms: 6 + -18 = -12 -12 + 4x + 9x = 85 Combine like terms: 4x + 9x = 13x -12 + 13x = 85 Solving -12 + 13x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13x = 85 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 85 + 12 13x = 85 + 12 Combine like terms: 85 + 12 = 97 13x = 97 Divide each side by '13'. x = 7.461538462 Simplifying x = 7.461538462
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