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Simplifying 4x + 0.25(91 + -1x) = 38 4x + (91 * 0.25 + -1x * 0.25) = 38 4x + (22.75 + -0.25x) = 38 Reorder the terms: 22.75 + 4x + -0.25x = 38 Combine like terms: 4x + -0.25x = 3.75x 22.75 + 3.75x = 38 Solving 22.75 + 3.75x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.75' to each side of the equation. 22.75 + -22.75 + 3.75x = 38 + -22.75 Combine like terms: 22.75 + -22.75 = 0.00 0.00 + 3.75x = 38 + -22.75 3.75x = 38 + -22.75 Combine like terms: 38 + -22.75 = 15.25 3.75x = 15.25 Divide each side by '3.75'. x = 4.066666667 Simplifying x = 4.066666667
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