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Simplifying 0.01x + -0.42 = -0.2x Reorder the terms: -0.42 + 0.01x = -0.2x Solving -0.42 + 0.01x = -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -0.42 + 0.01x + 0.2x = -0.2x + 0.2x Combine like terms: 0.01x + 0.2x = 0.21x -0.42 + 0.21x = -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -0.42 + 0.21x = 0.0 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.21x = 0.0 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.21x = 0.0 + 0.42 0.21x = 0.0 + 0.42 Combine like terms: 0.0 + 0.42 = 0.42 0.21x = 0.42 Divide each side by '0.21'. x = 2 Simplifying x = 2
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