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Simplifying 0.35x + 0.6 = 0.1x + 1 Reorder the terms: 0.6 + 0.35x = 0.1x + 1 Reorder the terms: 0.6 + 0.35x = 1 + 0.1x Solving 0.6 + 0.35x = 1 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 0.6 + 0.35x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.35x + -0.1x = 0.25x 0.6 + 0.25x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.6 + 0.25x = 1 + 0.0 0.6 + 0.25x = 1 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.25x = 1 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.25x = 1 + -0.6 0.25x = 1 + -0.6 Combine like terms: 1 + -0.6 = 0.4 0.25x = 0.4 Divide each side by '0.25'. x = 1.6 Simplifying x = 1.6
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