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Simplifying 0.1(0.1x + 0.3) + -0.6 = 0 Reorder the terms: 0.1(0.3 + 0.1x) + -0.6 = 0 (0.3 * 0.1 + 0.1x * 0.1) + -0.6 = 0 (0.03 + 0.01x) + -0.6 = 0 Reorder the terms: 0.03 + -0.6 + 0.01x = 0 Combine like terms: 0.03 + -0.6 = -0.57 -0.57 + 0.01x = 0 Solving -0.57 + 0.01x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.57' to each side of the equation. -0.57 + 0.57 + 0.01x = 0 + 0.57 Combine like terms: -0.57 + 0.57 = 0.00 0.00 + 0.01x = 0 + 0.57 0.01x = 0 + 0.57 Combine like terms: 0 + 0.57 = 0.57 0.01x = 0.57 Divide each side by '0.01'. x = 57 Simplifying x = 57
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