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Simplifying 90 + 0.15x = 110 + 0.1x Solving 90 + 0.15x = 110 + 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. 90 + 0.15x + -0.1x = 110 + 0.1x + -0.1x Combine like terms: 0.15x + -0.1x = 0.05x 90 + 0.05x = 110 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 90 + 0.05x = 110 + 0.0 90 + 0.05x = 110 Add '-90' to each side of the equation. 90 + -90 + 0.05x = 110 + -90 Combine like terms: 90 + -90 = 0 0 + 0.05x = 110 + -90 0.05x = 110 + -90 Combine like terms: 110 + -90 = 20 0.05x = 20 Divide each side by '0.05'. x = 400 Simplifying x = 400
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