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Simplifying 100x + 50 = 150x + 30 Reorder the terms: 50 + 100x = 150x + 30 Reorder the terms: 50 + 100x = 30 + 150x Solving 50 + 100x = 30 + 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. 50 + 100x + -150x = 30 + 150x + -150x Combine like terms: 100x + -150x = -50x 50 + -50x = 30 + 150x + -150x Combine like terms: 150x + -150x = 0 50 + -50x = 30 + 0 50 + -50x = 30 Add '-50' to each side of the equation. 50 + -50 + -50x = 30 + -50 Combine like terms: 50 + -50 = 0 0 + -50x = 30 + -50 -50x = 30 + -50 Combine like terms: 30 + -50 = -20 -50x = -20 Divide each side by '-50'. x = 0.4 Simplifying x = 0.4
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