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Simplifying 13.75x + 0.09 = 14.50x + 0.07 Reorder the terms: 0.09 + 13.75x = 14.50x + 0.07 Reorder the terms: 0.09 + 13.75x = 0.07 + 14.50x Solving 0.09 + 13.75x = 0.07 + 14.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.50x' to each side of the equation. 0.09 + 13.75x + -14.50x = 0.07 + 14.50x + -14.50x Combine like terms: 13.75x + -14.50x = -0.75x 0.09 + -0.75x = 0.07 + 14.50x + -14.50x Combine like terms: 14.50x + -14.50x = 0.00 0.09 + -0.75x = 0.07 + 0.00 0.09 + -0.75x = 0.07 Add '-0.09' to each side of the equation. 0.09 + -0.09 + -0.75x = 0.07 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + -0.75x = 0.07 + -0.09 -0.75x = 0.07 + -0.09 Combine like terms: 0.07 + -0.09 = -0.02 -0.75x = -0.02 Divide each side by '-0.75'. x = 0.02666666667 Simplifying x = 0.02666666667
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