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Simplifying 12.25 + 0.13x = 12.75 + -0.11x Solving 12.25 + 0.13x = 12.75 + -0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.11x' to each side of the equation. 12.25 + 0.13x + 0.11x = 12.75 + -0.11x + 0.11x Combine like terms: 0.13x + 0.11x = 0.24x 12.25 + 0.24x = 12.75 + -0.11x + 0.11x Combine like terms: -0.11x + 0.11x = 0.00 12.25 + 0.24x = 12.75 + 0.00 12.25 + 0.24x = 12.75 Add '-12.25' to each side of the equation. 12.25 + -12.25 + 0.24x = 12.75 + -12.25 Combine like terms: 12.25 + -12.25 = 0.00 0.00 + 0.24x = 12.75 + -12.25 0.24x = 12.75 + -12.25 Combine like terms: 12.75 + -12.25 = 0.5 0.24x = 0.5 Divide each side by '0.24'. x = 2.083333333 Simplifying x = 2.083333333
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