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Simplifying 400 + -20x = 100 + 30x Solving 400 + -20x = 100 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 400 + -20x + -30x = 100 + 30x + -30x Combine like terms: -20x + -30x = -50x 400 + -50x = 100 + 30x + -30x Combine like terms: 30x + -30x = 0 400 + -50x = 100 + 0 400 + -50x = 100 Add '-400' to each side of the equation. 400 + -400 + -50x = 100 + -400 Combine like terms: 400 + -400 = 0 0 + -50x = 100 + -400 -50x = 100 + -400 Combine like terms: 100 + -400 = -300 -50x = -300 Divide each side by '-50'. x = 6 Simplifying x = 6
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