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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 = 150 150x = 150 Divide each side by '150'. x = 1 Simplifying x = 1
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