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Simplifying 0.35x + 0.2 = 0.275x + -0.42 Reorder the terms: 0.2 + 0.35x = 0.275x + -0.42 Reorder the terms: 0.2 + 0.35x = -0.42 + 0.275x Solving 0.2 + 0.35x = -0.42 + 0.275x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.275x' to each side of the equation. 0.2 + 0.35x + -0.275x = -0.42 + 0.275x + -0.275x Combine like terms: 0.35x + -0.275x = 0.075x 0.2 + 0.075x = -0.42 + 0.275x + -0.275x Combine like terms: 0.275x + -0.275x = 0.000 0.2 + 0.075x = -0.42 + 0.000 0.2 + 0.075x = -0.42 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.075x = -0.42 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.075x = -0.42 + -0.2 0.075x = -0.42 + -0.2 Combine like terms: -0.42 + -0.2 = -0.62 0.075x = -0.62 Divide each side by '0.075'. x = -8.266666667 Simplifying x = -8.266666667
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