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Simplifying 0.4x + -2 = -6 + 0.41x Reorder the terms: -2 + 0.4x = -6 + 0.41x Solving -2 + 0.4x = -6 + 0.41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.41x' to each side of the equation. -2 + 0.4x + -0.41x = -6 + 0.41x + -0.41x Combine like terms: 0.4x + -0.41x = -0.01x -2 + -0.01x = -6 + 0.41x + -0.41x Combine like terms: 0.41x + -0.41x = 0.00 -2 + -0.01x = -6 + 0.00 -2 + -0.01x = -6 Add '2' to each side of the equation. -2 + 2 + -0.01x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -0.01x = -6 + 2 -0.01x = -6 + 2 Combine like terms: -6 + 2 = -4 -0.01x = -4 Divide each side by '-0.01'. x = 400 Simplifying x = 400
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