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Simplifying 15x + 30(x + -5) = 165 Reorder the terms: 15x + 30(-5 + x) = 165 15x + (-5 * 30 + x * 30) = 165 15x + (-150 + 30x) = 165 Reorder the terms: -150 + 15x + 30x = 165 Combine like terms: 15x + 30x = 45x -150 + 45x = 165 Solving -150 + 45x = 165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + 45x = 165 + 150 Combine like terms: -150 + 150 = 0 0 + 45x = 165 + 150 45x = 165 + 150 Combine like terms: 165 + 150 = 315 45x = 315 Divide each side by '45'. x = 7 Simplifying x = 7
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