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Simplifying 0.666667(9x + -6) = 4x + 10 Reorder the terms: 0.666667(-6 + 9x) = 4x + 10 (-6 * 0.666667 + 9x * 0.666667) = 4x + 10 (-4.000002 + 6.000003x) = 4x + 10 Reorder the terms: -4.000002 + 6.000003x = 10 + 4x Solving -4.000002 + 6.000003x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4.000002 + 6.000003x + -4x = 10 + 4x + -4x Combine like terms: 6.000003x + -4x = 2.000003x -4.000002 + 2.000003x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -4.000002 + 2.000003x = 10 + 0 -4.000002 + 2.000003x = 10 Add '4.000002' to each side of the equation. -4.000002 + 4.000002 + 2.000003x = 10 + 4.000002 Combine like terms: -4.000002 + 4.000002 = 0.000000 0.000000 + 2.000003x = 10 + 4.000002 2.000003x = 10 + 4.000002 Combine like terms: 10 + 4.000002 = 14.000002 2.000003x = 14.000002 Divide each side by '2.000003'. x = 6.9999905 Simplifying x = 6.9999905
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