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Simplifying 0.3(0.3x + 0.8) + -0.3 = 0 Reorder the terms: 0.3(0.8 + 0.3x) + -0.3 = 0 (0.8 * 0.3 + 0.3x * 0.3) + -0.3 = 0 (0.24 + 0.09x) + -0.3 = 0 Reorder the terms: 0.24 + -0.3 + 0.09x = 0 Combine like terms: 0.24 + -0.3 = -0.06 -0.06 + 0.09x = 0 Solving -0.06 + 0.09x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.09x = 0 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.09x = 0 + 0.06 0.09x = 0 + 0.06 Combine like terms: 0 + 0.06 = 0.06 0.09x = 0.06 Divide each side by '0.09'. x = 0.6666666667 Simplifying x = 0.6666666667
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