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Simplifying 100x + 30 = 200x + -20x Reorder the terms: 30 + 100x = 200x + -20x Combine like terms: 200x + -20x = 180x 30 + 100x = 180x Solving 30 + 100x = 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 30 + 100x + -180x = 180x + -180x Combine like terms: 100x + -180x = -80x 30 + -80x = 180x + -180x Combine like terms: 180x + -180x = 0 30 + -80x = 0 Add '-30' to each side of the equation. 30 + -30 + -80x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -80x = 0 + -30 -80x = 0 + -30 Combine like terms: 0 + -30 = -30 -80x = -30 Divide each side by '-80'. x = 0.375 Simplifying x = 0.375
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