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Simplifying 0.333333333(x + 9) + 5 = 3x + 8 Reorder the terms: 0.333333333(9 + x) + 5 = 3x + 8 (9 * 0.333333333 + x * 0.333333333) + 5 = 3x + 8 (2.999999997 + 0.333333333x) + 5 = 3x + 8 Reorder the terms: 2.999999997 + 5 + 0.333333333x = 3x + 8 Combine like terms: 2.999999997 + 5 = 7.999999997 7.999999997 + 0.333333333x = 3x + 8 Reorder the terms: 7.999999997 + 0.333333333x = 8 + 3x Solving 7.999999997 + 0.333333333x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7.999999997 + 0.333333333x + -3x = 8 + 3x + -3x Combine like terms: 0.333333333x + -3x = -2.666666667x 7.999999997 + -2.666666667x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 7.999999997 + -2.666666667x = 8 + 0 7.999999997 + -2.666666667x = 8 Add '-7.999999997' to each side of the equation. 7.999999997 + -7.999999997 + -2.666666667x = 8 + -7.999999997 Combine like terms: 7.999999997 + -7.999999997 = 0.000000000 0.000000000 + -2.666666667x = 8 + -7.999999997 -2.666666667x = 8 + -7.999999997 Combine like terms: 8 + -7.999999997 = 0.000000003 -2.666666667x = 0.000000003 Divide each side by '-2.666666667'. x = -0.000000001125 Simplifying x = -0.000000001125
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