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Simplifying -0.333333(x + 9) + 0.666667(x + -6) = 7 Reorder the terms: -0.333333(9 + x) + 0.666667(x + -6) = 7 (9 * -0.333333 + x * -0.333333) + 0.666667(x + -6) = 7 (-2.999997 + -0.333333x) + 0.666667(x + -6) = 7 Reorder the terms: -2.999997 + -0.333333x + 0.666667(-6 + x) = 7 -2.999997 + -0.333333x + (-6 * 0.666667 + x * 0.666667) = 7 -2.999997 + -0.333333x + (-4.000002 + 0.666667x) = 7 Reorder the terms: -2.999997 + -4.000002 + -0.333333x + 0.666667x = 7 Combine like terms: -2.999997 + -4.000002 = -6.999999 -6.999999 + -0.333333x + 0.666667x = 7 Combine like terms: -0.333333x + 0.666667x = 0.333334x -6.999999 + 0.333334x = 7 Solving -6.999999 + 0.333334x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.999999' to each side of the equation. -6.999999 + 6.999999 + 0.333334x = 7 + 6.999999 Combine like terms: -6.999999 + 6.999999 = 0.000000 0.000000 + 0.333334x = 7 + 6.999999 0.333334x = 7 + 6.999999 Combine like terms: 7 + 6.999999 = 13.999999 0.333334x = 13.999999 Divide each side by '0.333334'. x = 41.999913 Simplifying x = 41.999913
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