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Simplifying 0.3x + 6 = 0.5x + -8 Reorder the terms: 6 + 0.3x = 0.5x + -8 Reorder the terms: 6 + 0.3x = -8 + 0.5x Solving 6 + 0.3x = -8 + 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. 6 + 0.3x + -0.5x = -8 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 6 + -0.2x = -8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -0.2x = -8 + 0.0 6 + -0.2x = -8 Add '-6' to each side of the equation. 6 + -6 + -0.2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -0.2x = -8 + -6 -0.2x = -8 + -6 Combine like terms: -8 + -6 = -14 -0.2x = -14 Divide each side by '-0.2'. x = 70 Simplifying x = 70
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