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Simplifying 0.5x + -4 = 0.3x + 1 Reorder the terms: -4 + 0.5x = 0.3x + 1 Reorder the terms: -4 + 0.5x = 1 + 0.3x Solving -4 + 0.5x = 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. -4 + 0.5x + -0.3x = 1 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -4 + 0.2x = 1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -4 + 0.2x = 1 + 0.0 -4 + 0.2x = 1 Add '4' to each side of the equation. -4 + 4 + 0.2x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 0.2x = 1 + 4 0.2x = 1 + 4 Combine like terms: 1 + 4 = 5 0.2x = 5 Divide each side by '0.2'. x = 25 Simplifying x = 25
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