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Simplifying 0.1 = 0.3 + x + -0.3x Combine like terms: x + -0.3x = 0.7x 0.1 = 0.3 + 0.7x Solving 0.1 = 0.3 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 0.1 + -0.7x = 0.3 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.1 + -0.7x = 0.3 + 0.0 0.1 + -0.7x = 0.3 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.7x = 0.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.7x = 0.3 + -0.1 -0.7x = 0.3 + -0.1 Combine like terms: 0.3 + -0.1 = 0.2 -0.7x = 0.2 Divide each side by '-0.7'. x = -0.2857142857 Simplifying x = -0.2857142857
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