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Simplifying 0.5x + 1 = 0.1 + 0.3x + 0.9 Reorder the terms: 1 + 0.5x = 0.1 + 0.3x + 0.9 Reorder the terms: 1 + 0.5x = 0.1 + 0.9 + 0.3x Combine like terms: 0.1 + 0.9 = 1 1 + 0.5x = 1 + 0.3x Add '-1' to each side of the equation. 1 + -1 + 0.5x = 1 + -1 + 0.3x Combine like terms: 1 + -1 = 0 0 + 0.5x = 1 + -1 + 0.3x 0.5x = 1 + -1 + 0.3x Combine like terms: 1 + -1 = 0 0.5x = 0 + 0.3x 0.5x = 0.3x Solving 0.5x = 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. 0.5x + -0.3x = 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 0.2x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.2x = 0.0 Divide each side by '0.2'. x = 0 Simplifying x = 0
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