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Simplifying 6 + 0.33333(9x + 3) = 6x + 2 Reorder the terms: 6 + 0.33333(3 + 9x) = 6x + 2 6 + (3 * 0.33333 + 9x * 0.33333) = 6x + 2 6 + (0.99999 + 2.99997x) = 6x + 2 Combine like terms: 6 + 0.99999 = 6.99999 6.99999 + 2.99997x = 6x + 2 Reorder the terms: 6.99999 + 2.99997x = 2 + 6x Solving 6.99999 + 2.99997x = 2 + 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. 6.99999 + 2.99997x + -6x = 2 + 6x + -6x Combine like terms: 2.99997x + -6x = -3.00003x 6.99999 + -3.00003x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 6.99999 + -3.00003x = 2 + 0 6.99999 + -3.00003x = 2 Add '-6.99999' to each side of the equation. 6.99999 + -6.99999 + -3.00003x = 2 + -6.99999 Combine like terms: 6.99999 + -6.99999 = 0.00000 0.00000 + -3.00003x = 2 + -6.99999 -3.00003x = 2 + -6.99999 Combine like terms: 2 + -6.99999 = -4.99999 -3.00003x = -4.99999 Divide each side by '-3.00003'. x = 1.666646667 Simplifying x = 1.666646667
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