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Simplifying 0.666(x + -6) = 0.6666x + -4 Reorder the terms: 0.666(-6 + x) = 0.6666x + -4 (-6 * 0.666 + x * 0.666) = 0.6666x + -4 (-3.996 + 0.666x) = 0.6666x + -4 Reorder the terms: -3.996 + 0.666x = -4 + 0.6666x Solving -3.996 + 0.666x = -4 + 0.6666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666x' to each side of the equation. -3.996 + 0.666x + -0.6666x = -4 + 0.6666x + -0.6666x Combine like terms: 0.666x + -0.6666x = -0.0006x -3.996 + -0.0006x = -4 + 0.6666x + -0.6666x Combine like terms: 0.6666x + -0.6666x = 0.0000 -3.996 + -0.0006x = -4 + 0.0000 -3.996 + -0.0006x = -4 Add '3.996' to each side of the equation. -3.996 + 3.996 + -0.0006x = -4 + 3.996 Combine like terms: -3.996 + 3.996 = 0.000 0.000 + -0.0006x = -4 + 3.996 -0.0006x = -4 + 3.996 Combine like terms: -4 + 3.996 = -0.004 -0.0006x = -0.004 Divide each side by '-0.0006'. x = 6.666666667 Simplifying x = 6.666666667
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