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Simplifying 5 + 0.666666667(x + -9) + -7 = 6x + -12 Reorder the terms: 5 + 0.666666667(-9 + x) + -7 = 6x + -12 5 + (-9 * 0.666666667 + x * 0.666666667) + -7 = 6x + -12 5 + (-6.000000003 + 0.666666667x) + -7 = 6x + -12 Reorder the terms: 5 + -6.000000003 + -7 + 0.666666667x = 6x + -12 Combine like terms: 5 + -6.000000003 = -1.000000003 -1.000000003 + -7 + 0.666666667x = 6x + -12 Combine like terms: -1.000000003 + -7 = -8.000000003 -8.000000003 + 0.666666667x = 6x + -12 Reorder the terms: -8.000000003 + 0.666666667x = -12 + 6x Solving -8.000000003 + 0.666666667x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8.000000003 + 0.666666667x + -6x = -12 + 6x + -6x Combine like terms: 0.666666667x + -6x = -5.333333333x -8.000000003 + -5.333333333x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8.000000003 + -5.333333333x = -12 + 0 -8.000000003 + -5.333333333x = -12 Add '8.000000003' to each side of the equation. -8.000000003 + 8.000000003 + -5.333333333x = -12 + 8.000000003 Combine like terms: -8.000000003 + 8.000000003 = 0.000000000 0.000000000 + -5.333333333x = -12 + 8.000000003 -5.333333333x = -12 + 8.000000003 Combine like terms: -12 + 8.000000003 = -3.999999997 -5.333333333x = -3.999999997 Divide each side by '-5.333333333'. x = 0.7499999995 Simplifying x = 0.7499999995
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