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Simplifying 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 = 0.18x 15.75 + 0.18x = 16.53 + -0.13x + 0.13x Combine like terms: -0.13x + 0.13x = 0.00 15.75 + 0.18x = 16.53 + 0.00 15.75 + 0.18x = 16.53 Add '-15.75' to each side of the equation. 15.75 + -15.75 + 0.18x = 16.53 + -15.75 Combine like terms: 15.75 + -15.75 = 0.00 0.00 + 0.18x = 16.53 + -15.75 0.18x = 16.53 + -15.75 Combine like terms: 16.53 + -15.75 = 0.78 0.18x = 0.78 Divide each side by '0.18'. x = 4.333333333 Simplifying x = 4.333333333
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