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Simplifying 590 = 5(9x + 10) Reorder the terms: 590 = 5(10 + 9x) 590 = (10 * 5 + 9x * 5) 590 = (50 + 45x) Solving 590 = 50 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 590 + -45x = 50 + 45x + -45x Combine like terms: 45x + -45x = 0 590 + -45x = 50 + 0 590 + -45x = 50 Add '-590' to each side of the equation. 590 + -590 + -45x = 50 + -590 Combine like terms: 590 + -590 = 0 0 + -45x = 50 + -590 -45x = 50 + -590 Combine like terms: 50 + -590 = -540 -45x = -540 Divide each side by '-45'. x = 12 Simplifying x = 12
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