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Simplifying 5(9 + 6x) + 15(12 + 13) = 450 (9 * 5 + 6x * 5) + 15(12 + 13) = 450 (45 + 30x) + 15(12 + 13) = 450 Combine like terms: 12 + 13 = 25 45 + 30x + 15(25) = 450 Multiply 15 * 25 45 + 30x + 375 = 450 Reorder the terms: 45 + 375 + 30x = 450 Combine like terms: 45 + 375 = 420 420 + 30x = 450 Solving 420 + 30x = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + 30x = 450 + -420 Combine like terms: 420 + -420 = 0 0 + 30x = 450 + -420 30x = 450 + -420 Combine like terms: 450 + -420 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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