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Simplifying 10(0.05865) = 40(0.0115) + -20x Multiply 10 * 0.05865 0.5865 = 40(0.0115) + -20x Multiply 40 * 0.0115 0.5865 = 0.46 + -20x Solving 0.5865 = 0.46 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 0.5865 + 20x = 0.46 + -20x + 20x Combine like terms: -20x + 20x = 0 0.5865 + 20x = 0.46 + 0 0.5865 + 20x = 0.46 Add '-0.5865' to each side of the equation. 0.5865 + -0.5865 + 20x = 0.46 + -0.5865 Combine like terms: 0.5865 + -0.5865 = 0.0000 0.0000 + 20x = 0.46 + -0.5865 20x = 0.46 + -0.5865 Combine like terms: 0.46 + -0.5865 = -0.1265 20x = -0.1265 Divide each side by '20'. x = -0.006325 Simplifying x = -0.006325
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