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Simplifying 115.872 = 4.8(4.8x + 3.5) Reorder the terms: 115.872 = 4.8(3.5 + 4.8x) 115.872 = (3.5 * 4.8 + 4.8x * 4.8) 115.872 = (16.8 + 23.04x) Solving 115.872 = 16.8 + 23.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23.04x' to each side of the equation. 115.872 + -23.04x = 16.8 + 23.04x + -23.04x Combine like terms: 23.04x + -23.04x = 0.00 115.872 + -23.04x = 16.8 + 0.00 115.872 + -23.04x = 16.8 Add '-115.872' to each side of the equation. 115.872 + -115.872 + -23.04x = 16.8 + -115.872 Combine like terms: 115.872 + -115.872 = 0.000 0.000 + -23.04x = 16.8 + -115.872 -23.04x = 16.8 + -115.872 Combine like terms: 16.8 + -115.872 = -99.072 -23.04x = -99.072 Divide each side by '-23.04'. x = 4.3 Simplifying x = 4.3
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