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Simplifying 13.49 + 0.12x = 14.24 + 0.11x Solving 13.49 + 0.12x = 14.24 + 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. 13.49 + 0.12x + -0.11x = 14.24 + 0.11x + -0.11x Combine like terms: 0.12x + -0.11x = 0.01x 13.49 + 0.01x = 14.24 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 13.49 + 0.01x = 14.24 + 0.00 13.49 + 0.01x = 14.24 Add '-13.49' to each side of the equation. 13.49 + -13.49 + 0.01x = 14.24 + -13.49 Combine like terms: 13.49 + -13.49 = 0.00 0.00 + 0.01x = 14.24 + -13.49 0.01x = 14.24 + -13.49 Combine like terms: 14.24 + -13.49 = 0.75 0.01x = 0.75 Divide each side by '0.01'. x = 75 Simplifying x = 75
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