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Simplifying -0.1x + 14.6 = -0.05x + 13.75 Reorder the terms: 14.6 + -0.1x = -0.05x + 13.75 Reorder the terms: 14.6 + -0.1x = 13.75 + -0.05x Solving 14.6 + -0.1x = 13.75 + -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. 14.6 + -0.1x + 0.05x = 13.75 + -0.05x + 0.05x Combine like terms: -0.1x + 0.05x = -0.05x 14.6 + -0.05x = 13.75 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 14.6 + -0.05x = 13.75 + 0.00 14.6 + -0.05x = 13.75 Add '-14.6' to each side of the equation. 14.6 + -14.6 + -0.05x = 13.75 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -0.05x = 13.75 + -14.6 -0.05x = 13.75 + -14.6 Combine like terms: 13.75 + -14.6 = -0.85 -0.05x = -0.85 Divide each side by '-0.05'. x = 17 Simplifying x = 17
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