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Simplifying 0.44x + 0.07(x + 7) = 4.57 Reorder the terms: 0.44x + 0.07(7 + x) = 4.57 0.44x + (7 * 0.07 + x * 0.07) = 4.57 0.44x + (0.49 + 0.07x) = 4.57 Reorder the terms: 0.49 + 0.44x + 0.07x = 4.57 Combine like terms: 0.44x + 0.07x = 0.51x 0.49 + 0.51x = 4.57 Solving 0.49 + 0.51x = 4.57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.49' to each side of the equation. 0.49 + -0.49 + 0.51x = 4.57 + -0.49 Combine like terms: 0.49 + -0.49 = 0.00 0.00 + 0.51x = 4.57 + -0.49 0.51x = 4.57 + -0.49 Combine like terms: 4.57 + -0.49 = 4.08 0.51x = 4.08 Divide each side by '0.51'. x = 8 Simplifying x = 8
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