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Simplifying 10x + 30(x + -2) = 500 Reorder the terms: 10x + 30(-2 + x) = 500 10x + (-2 * 30 + x * 30) = 500 10x + (-60 + 30x) = 500 Reorder the terms: -60 + 10x + 30x = 500 Combine like terms: 10x + 30x = 40x -60 + 40x = 500 Solving -60 + 40x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 40x = 500 + 60 Combine like terms: -60 + 60 = 0 0 + 40x = 500 + 60 40x = 500 + 60 Combine like terms: 500 + 60 = 560 40x = 560 Divide each side by '40'. x = 14 Simplifying x = 14
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