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Simplifying 50x + 200 = 20(x + -4) + 100 Reorder the terms: 200 + 50x = 20(x + -4) + 100 Reorder the terms: 200 + 50x = 20(-4 + x) + 100 200 + 50x = (-4 * 20 + x * 20) + 100 200 + 50x = (-80 + 20x) + 100 Reorder the terms: 200 + 50x = -80 + 100 + 20x Combine like terms: -80 + 100 = 20 200 + 50x = 20 + 20x Solving 200 + 50x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 200 + 50x + -20x = 20 + 20x + -20x Combine like terms: 50x + -20x = 30x 200 + 30x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 200 + 30x = 20 + 0 200 + 30x = 20 Add '-200' to each side of the equation. 200 + -200 + 30x = 20 + -200 Combine like terms: 200 + -200 = 0 0 + 30x = 20 + -200 30x = 20 + -200 Combine like terms: 20 + -200 = -180 30x = -180 Divide each side by '30'. x = -6 Simplifying x = -6
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