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Simplifying 5.1075 + x = 0.15(56.75 + x) 5.1075 + x = (56.75 * 0.15 + x * 0.15) 5.1075 + x = (8.5125 + 0.15x) Solving 5.1075 + x = 8.5125 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 5.1075 + x + -0.15x = 8.5125 + 0.15x + -0.15x Combine like terms: x + -0.15x = 0.85x 5.1075 + 0.85x = 8.5125 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 5.1075 + 0.85x = 8.5125 + 0.00 5.1075 + 0.85x = 8.5125 Add '-5.1075' to each side of the equation. 5.1075 + -5.1075 + 0.85x = 8.5125 + -5.1075 Combine like terms: 5.1075 + -5.1075 = 0.0000 0.0000 + 0.85x = 8.5125 + -5.1075 0.85x = 8.5125 + -5.1075 Combine like terms: 8.5125 + -5.1075 = 3.405 0.85x = 3.405 Divide each side by '0.85'. x = 4.005882353 Simplifying x = 4.005882353
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