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Simplifying 100(x + -3) = 450 + -50x Reorder the terms: 100(-3 + x) = 450 + -50x (-3 * 100 + x * 100) = 450 + -50x (-300 + 100x) = 450 + -50x Solving -300 + 100x = 450 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -300 + 100x + 50x = 450 + -50x + 50x Combine like terms: 100x + 50x = 150x -300 + 150x = 450 + -50x + 50x Combine like terms: -50x + 50x = 0 -300 + 150x = 450 + 0 -300 + 150x = 450 Add '300' to each side of the equation. -300 + 300 + 150x = 450 + 300 Combine like terms: -300 + 300 = 0 0 + 150x = 450 + 300 150x = 450 + 300 Combine like terms: 450 + 300 = 750 150x = 750 Divide each side by '150'. x = 5 Simplifying x = 5
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