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Simplifying 0.50x + 0.05(4 + -1X) = 0.10(-61) 0.50x + (4 * 0.05 + -1X * 0.05) = 0.10(-61) 0.50x + (0.2 + -0.05X) = 0.10(-61) Reorder the terms: 0.2 + -0.05X + 0.50x = 0.10(-61) Multiply 0.10 * -61 0.2 + -0.05X + 0.50x = -6.1 Solving 0.2 + -0.05X + 0.50x = -6.1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.05X + -0.2 + 0.50x = -6.1 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.05X + 0.50x = -6.1 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.05X + 0.50x = -6.1 + -0.2 -0.05X + 0.50x = -6.1 + -0.2 Combine like terms: -6.1 + -0.2 = -6.3 -0.05X + 0.50x = -6.3 Add '-0.50x' to each side of the equation. -0.05X + 0.50x + -0.50x = -6.3 + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 -0.05X + 0.00 = -6.3 + -0.50x -0.05X = -6.3 + -0.50x Divide each side by '-0.05'. X = 126 + 10x Simplifying X = 126 + 10x
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