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Simplifying 0.75(0.25 + 0.1250) + 4 = 0.1875 + x + 4 Combine like terms: 0.25 + 0.1250 = 0.375 0.75(0.375) + 4 = 0.1875 + x + 4 Multiply 0.75 * 0.375 0.28125 + 4 = 0.1875 + x + 4 Combine like terms: 0.28125 + 4 = 4.28125 4.28125 = 0.1875 + x + 4 Reorder the terms: 4.28125 = 0.1875 + 4 + x Combine like terms: 0.1875 + 4 = 4.1875 4.28125 = 4.1875 + x Solving 4.28125 = 4.1875 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.28125 + -1x = 4.1875 + x + -1x Combine like terms: x + -1x = 0 4.28125 + -1x = 4.1875 + 0 4.28125 + -1x = 4.1875 Add '-4.28125' to each side of the equation. 4.28125 + -4.28125 + -1x = 4.1875 + -4.28125 Combine like terms: 4.28125 + -4.28125 = 0.00000 0.00000 + -1x = 4.1875 + -4.28125 -1x = 4.1875 + -4.28125 Combine like terms: 4.1875 + -4.28125 = -0.09375 -1x = -0.09375 Divide each side by '-1'. x = 0.09375 Simplifying x = 0.09375
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