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Simplifying 5(9 + 6x) + 15(12 + 13x) = 450 (9 * 5 + 6x * 5) + 15(12 + 13x) = 450 (45 + 30x) + 15(12 + 13x) = 450 45 + 30x + (12 * 15 + 13x * 15) = 450 45 + 30x + (180 + 195x) = 450 Reorder the terms: 45 + 180 + 30x + 195x = 450 Combine like terms: 45 + 180 = 225 225 + 30x + 195x = 450 Combine like terms: 30x + 195x = 225x 225 + 225x = 450 Solving 225 + 225x = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + 225x = 450 + -225 Combine like terms: 225 + -225 = 0 0 + 225x = 450 + -225 225x = 450 + -225 Combine like terms: 450 + -225 = 225 225x = 225 Divide each side by '225'. x = 1 Simplifying x = 1
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