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Simplifying 0.6 + -0.3x = 0.5x + 1 Reorder the terms: 0.6 + -0.3x = 1 + 0.5x Solving 0.6 + -0.3x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.6 + -0.3x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: -0.3x + -0.5x = -0.8x 0.6 + -0.8x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.6 + -0.8x = 1 + 0.0 0.6 + -0.8x = 1 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.8x = 1 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.8x = 1 + -0.6 -0.8x = 1 + -0.6 Combine like terms: 1 + -0.6 = 0.4 -0.8x = 0.4 Divide each side by '-0.8'. x = -0.5 Simplifying x = -0.5
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