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Simplifying 0.5x + -0.3 = 1.1 + 0.3x Reorder the terms: -0.3 + 0.5x = 1.1 + 0.3x Solving -0.3 + 0.5x = 1.1 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -0.3 + 0.5x + -0.3x = 1.1 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -0.3 + 0.2x = 1.1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.3 + 0.2x = 1.1 + 0.0 -0.3 + 0.2x = 1.1 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.2x = 1.1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.2x = 1.1 + 0.3 0.2x = 1.1 + 0.3 Combine like terms: 1.1 + 0.3 = 1.4 0.2x = 1.4 Divide each side by '0.2'. x = 7 Simplifying x = 7
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