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Simplifying 0.6(25x + 35) = 0.33(30 + 45x) Reorder the terms: 0.6(35 + 25x) = 0.33(30 + 45x) (35 * 0.6 + 25x * 0.6) = 0.33(30 + 45x) (21 + 15x) = 0.33(30 + 45x) 21 + 15x = (30 * 0.33 + 45x * 0.33) 21 + 15x = (9.9 + 14.85x) Solving 21 + 15x = 9.9 + 14.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.85x' to each side of the equation. 21 + 15x + -14.85x = 9.9 + 14.85x + -14.85x Combine like terms: 15x + -14.85x = 0.15x 21 + 0.15x = 9.9 + 14.85x + -14.85x Combine like terms: 14.85x + -14.85x = 0.00 21 + 0.15x = 9.9 + 0.00 21 + 0.15x = 9.9 Add '-21' to each side of the equation. 21 + -21 + 0.15x = 9.9 + -21 Combine like terms: 21 + -21 = 0 0 + 0.15x = 9.9 + -21 0.15x = 9.9 + -21 Combine like terms: 9.9 + -21 = -11.1 0.15x = -11.1 Divide each side by '0.15'. x = -74 Simplifying x = -74
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