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Simplifying 20x + 5 = 30x + 7.5 Reorder the terms: 5 + 20x = 30x + 7.5 Reorder the terms: 5 + 20x = 7.5 + 30x Solving 5 + 20x = 7.5 + 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. 5 + 20x + -30x = 7.5 + 30x + -30x Combine like terms: 20x + -30x = -10x 5 + -10x = 7.5 + 30x + -30x Combine like terms: 30x + -30x = 0 5 + -10x = 7.5 + 0 5 + -10x = 7.5 Add '-5' to each side of the equation. 5 + -5 + -10x = 7.5 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 7.5 + -5 -10x = 7.5 + -5 Combine like terms: 7.5 + -5 = 2.5 -10x = 2.5 Divide each side by '-10'. x = -0.25 Simplifying x = -0.25
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