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Simplifying -5(3x + 7) + 9(3x + 8) = 85 Reorder the terms: -5(7 + 3x) + 9(3x + 8) = 85 (7 * -5 + 3x * -5) + 9(3x + 8) = 85 (-35 + -15x) + 9(3x + 8) = 85 Reorder the terms: -35 + -15x + 9(8 + 3x) = 85 -35 + -15x + (8 * 9 + 3x * 9) = 85 -35 + -15x + (72 + 27x) = 85 Reorder the terms: -35 + 72 + -15x + 27x = 85 Combine like terms: -35 + 72 = 37 37 + -15x + 27x = 85 Combine like terms: -15x + 27x = 12x 37 + 12x = 85 Solving 37 + 12x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 12x = 85 + -37 Combine like terms: 37 + -37 = 0 0 + 12x = 85 + -37 12x = 85 + -37 Combine like terms: 85 + -37 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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