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Simplifying 0.8(0.1x + 0.5) + -0.8 = 0 Reorder the terms: 0.8(0.5 + 0.1x) + -0.8 = 0 (0.5 * 0.8 + 0.1x * 0.8) + -0.8 = 0 (0.4 + 0.08x) + -0.8 = 0 Reorder the terms: 0.4 + -0.8 + 0.08x = 0 Combine like terms: 0.4 + -0.8 = -0.4 -0.4 + 0.08x = 0 Solving -0.4 + 0.08x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.08x = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.08x = 0 + 0.4 0.08x = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 0.08x = 0.4 Divide each side by '0.08'. x = 5 Simplifying x = 5
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