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Simplifying 0.1666(x + -5) = 0.50(x + 6) Reorder the terms: 0.1666(-5 + x) = 0.50(x + 6) (-5 * 0.1666 + x * 0.1666) = 0.50(x + 6) (-0.833 + 0.1666x) = 0.50(x + 6) Reorder the terms: -0.833 + 0.1666x = 0.50(6 + x) -0.833 + 0.1666x = (6 * 0.50 + x * 0.50) -0.833 + 0.1666x = (3 + 0.50x) Solving -0.833 + 0.1666x = 3 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. -0.833 + 0.1666x + -0.50x = 3 + 0.50x + -0.50x Combine like terms: 0.1666x + -0.50x = -0.3334x -0.833 + -0.3334x = 3 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 -0.833 + -0.3334x = 3 + 0.00 -0.833 + -0.3334x = 3 Add '0.833' to each side of the equation. -0.833 + 0.833 + -0.3334x = 3 + 0.833 Combine like terms: -0.833 + 0.833 = 0.000 0.000 + -0.3334x = 3 + 0.833 -0.3334x = 3 + 0.833 Combine like terms: 3 + 0.833 = 3.833 -0.3334x = 3.833 Divide each side by '-0.3334'. x = -11.49670066 Simplifying x = -11.49670066
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