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Simplifying -3.4 * 0.2 + 8 * 0.2x + -0.5 = 0 Multiply -3.4 * 0.2 -0.68 + 8 * 0.2x + -0.5 = 0 Multiply 8 * 0.2 -0.68 + 1.6x + -0.5 = 0 Reorder the terms: -0.68 + -0.5 + 1.6x = 0 Combine like terms: -0.68 + -0.5 = -1.18 -1.18 + 1.6x = 0 Solving -1.18 + 1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.18' to each side of the equation. -1.18 + 1.18 + 1.6x = 0 + 1.18 Combine like terms: -1.18 + 1.18 = 0.00 0.00 + 1.6x = 0 + 1.18 1.6x = 0 + 1.18 Combine like terms: 0 + 1.18 = 1.18 1.6x = 1.18 Divide each side by '1.6'. x = 0.7375 Simplifying x = 0.7375
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