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Simplifying 0.333(9x + -6) = 4x + 4 Reorder the terms: 0.333(-6 + 9x) = 4x + 4 (-6 * 0.333 + 9x * 0.333) = 4x + 4 (-1.998 + 2.997x) = 4x + 4 Reorder the terms: -1.998 + 2.997x = 4 + 4x Solving -1.998 + 2.997x = 4 + 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. -1.998 + 2.997x + -4x = 4 + 4x + -4x Combine like terms: 2.997x + -4x = -1.003x -1.998 + -1.003x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -1.998 + -1.003x = 4 + 0 -1.998 + -1.003x = 4 Add '1.998' to each side of the equation. -1.998 + 1.998 + -1.003x = 4 + 1.998 Combine like terms: -1.998 + 1.998 = 0.000 0.000 + -1.003x = 4 + 1.998 -1.003x = 4 + 1.998 Combine like terms: 4 + 1.998 = 5.998 -1.003x = 5.998 Divide each side by '-1.003'. x = -5.980059821 Simplifying x = -5.980059821
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