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