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Simplifying 100x + 50(x + -4) = 1300 Reorder the terms: 100x + 50(-4 + x) = 1300 100x + (-4 * 50 + x * 50) = 1300 100x + (-200 + 50x) = 1300 Reorder the terms: -200 + 100x + 50x = 1300 Combine like terms: 100x + 50x = 150x -200 + 150x = 1300 Solving -200 + 150x = 1300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + 150x = 1300 + 200 Combine like terms: -200 + 200 = 0 0 + 150x = 1300 + 200 150x = 1300 + 200 Combine like terms: 1300 + 200 = 1500 150x = 1500 Divide each side by '150'. x = 10 Simplifying x = 10
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