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Simplifying 0.05x + 15.75 = 0.13x + 16.53 Reorder the terms: 15.75 + 0.05x = 0.13x + 16.53 Reorder the terms: 15.75 + 0.05x = 16.53 + 0.13x Solving 15.75 + 0.05x = 16.53 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 15.75 + 0.05x + -0.13x = 16.53 + 0.13x + -0.13x Combine like terms: 0.05x + -0.13x = -0.08x 15.75 + -0.08x = 16.53 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 15.75 + -0.08x = 16.53 + 0.00 15.75 + -0.08x = 16.53 Add '-15.75' to each side of the equation. 15.75 + -15.75 + -0.08x = 16.53 + -15.75 Combine like terms: 15.75 + -15.75 = 0.00 0.00 + -0.08x = 16.53 + -15.75 -0.08x = 16.53 + -15.75 Combine like terms: 16.53 + -15.75 = 0.78 -0.08x = 0.78 Divide each side by '-0.08'. x = -9.75 Simplifying x = -9.75
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