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Simplifying 0.5 + 0.2x = 1.5 + -0.3x Solving 0.5 + 0.2x = 1.5 + -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. 0.5 + 0.2x + 0.3x = 1.5 + -0.3x + 0.3x Combine like terms: 0.2x + 0.3x = 0.5x 0.5 + 0.5x = 1.5 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.5 + 0.5x = 1.5 + 0.0 0.5 + 0.5x = 1.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.5x = 1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5x = 1.5 + -0.5 0.5x = 1.5 + -0.5 Combine like terms: 1.5 + -0.5 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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