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Simplifying 0.5x + 0.3 = 0.8x + -0.6 Reorder the terms: 0.3 + 0.5x = 0.8x + -0.6 Reorder the terms: 0.3 + 0.5x = -0.6 + 0.8x Solving 0.3 + 0.5x = -0.6 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.3 + 0.5x + -0.8x = -0.6 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 0.3 + -0.3x = -0.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.3 + -0.3x = -0.6 + 0.0 0.3 + -0.3x = -0.6 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.3x = -0.6 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.3x = -0.6 + -0.3 -0.3x = -0.6 + -0.3 Combine like terms: -0.6 + -0.3 = -0.9 -0.3x = -0.9 Divide each side by '-0.3'. x = 3 Simplifying x = 3
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