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Simplifying 0.3x + -0.3 = 0.1x + 0.9 Reorder the terms: -0.3 + 0.3x = 0.1x + 0.9 Reorder the terms: -0.3 + 0.3x = 0.9 + 0.1x Solving -0.3 + 0.3x = 0.9 + 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. -0.3 + 0.3x + -0.1x = 0.9 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x -0.3 + 0.2x = 0.9 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.3 + 0.2x = 0.9 + 0.0 -0.3 + 0.2x = 0.9 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.2x = 0.9 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.2x = 0.9 + 0.3 0.2x = 0.9 + 0.3 Combine like terms: 0.9 + 0.3 = 1.2 0.2x = 1.2 Divide each side by '0.2'. x = 6 Simplifying x = 6
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