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Simplifying 0.666(9x + -6) = 4x + 10 Reorder the terms: 0.666(-6 + 9x) = 4x + 10 (-6 * 0.666 + 9x * 0.666) = 4x + 10 (-3.996 + 5.994x) = 4x + 10 Reorder the terms: -3.996 + 5.994x = 10 + 4x Solving -3.996 + 5.994x = 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. -3.996 + 5.994x + -4x = 10 + 4x + -4x Combine like terms: 5.994x + -4x = 1.994x -3.996 + 1.994x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -3.996 + 1.994x = 10 + 0 -3.996 + 1.994x = 10 Add '3.996' to each side of the equation. -3.996 + 3.996 + 1.994x = 10 + 3.996 Combine like terms: -3.996 + 3.996 = 0.000 0.000 + 1.994x = 10 + 3.996 1.994x = 10 + 3.996 Combine like terms: 10 + 3.996 = 13.996 1.994x = 13.996 Divide each side by '1.994'. x = 7.019057172 Simplifying x = 7.019057172
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