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Simplifying -3.4 * 0.2 + 8 * 0.2x + 0.1 = 0 Multiply -3.4 * 0.2 -0.68 + 8 * 0.2x + 0.1 = 0 Multiply 8 * 0.2 -0.68 + 1.6x + 0.1 = 0 Reorder the terms: -0.68 + 0.1 + 1.6x = 0 Combine like terms: -0.68 + 0.1 = -0.58 -0.58 + 1.6x = 0 Solving -0.58 + 1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.58' to each side of the equation. -0.58 + 0.58 + 1.6x = 0 + 0.58 Combine like terms: -0.58 + 0.58 = 0.00 0.00 + 1.6x = 0 + 0.58 1.6x = 0 + 0.58 Combine like terms: 0 + 0.58 = 0.58 1.6x = 0.58 Divide each side by '1.6'. x = 0.3625 Simplifying x = 0.3625
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