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Simplifying 0.15x + 55 = 0.1x + 80 Reorder the terms: 55 + 0.15x = 0.1x + 80 Reorder the terms: 55 + 0.15x = 80 + 0.1x Solving 55 + 0.15x = 80 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 55 + 0.15x + -0.1x = 80 + 0.1x + -0.1x Combine like terms: 0.15x + -0.1x = 0.05x 55 + 0.05x = 80 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 55 + 0.05x = 80 + 0.0 55 + 0.05x = 80 Add '-55' to each side of the equation. 55 + -55 + 0.05x = 80 + -55 Combine like terms: 55 + -55 = 0 0 + 0.05x = 80 + -55 0.05x = 80 + -55 Combine like terms: 80 + -55 = 25 0.05x = 25 Divide each side by '0.05'. x = 500 Simplifying x = 500
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