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Simplifying 0.3(0.1x + 0.3) + -0.3 = 0 Reorder the terms: 0.3(0.3 + 0.1x) + -0.3 = 0 (0.3 * 0.3 + 0.1x * 0.3) + -0.3 = 0 (0.09 + 0.03x) + -0.3 = 0 Reorder the terms: 0.09 + -0.3 + 0.03x = 0 Combine like terms: 0.09 + -0.3 = -0.21 -0.21 + 0.03x = 0 Solving -0.21 + 0.03x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.03x = 0 + 0.21 Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.03x = 0 + 0.21 0.03x = 0 + 0.21 Combine like terms: 0 + 0.21 = 0.21 0.03x = 0.21 Divide each side by '0.03'. x = 7 Simplifying x = 7
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