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Simplifying 0.50x + 5 = 0.35x + 7 Reorder the terms: 5 + 0.50x = 0.35x + 7 Reorder the terms: 5 + 0.50x = 7 + 0.35x Solving 5 + 0.50x = 7 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 5 + 0.50x + -0.35x = 7 + 0.35x + -0.35x Combine like terms: 0.50x + -0.35x = 0.15x 5 + 0.15x = 7 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 5 + 0.15x = 7 + 0.00 5 + 0.15x = 7 Add '-5' to each side of the equation. 5 + -5 + 0.15x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 0.15x = 7 + -5 0.15x = 7 + -5 Combine like terms: 7 + -5 = 2 0.15x = 2 Divide each side by '0.15'. x = 13.33333333 Simplifying x = 13.33333333
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