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Simplifying 0.8x + 6 = 0.5x + -9 Reorder the terms: 6 + 0.8x = 0.5x + -9 Reorder the terms: 6 + 0.8x = -9 + 0.5x Solving 6 + 0.8x = -9 + 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 + 0.8x + -0.5x = -9 + 0.5x + -0.5x Combine like terms: 0.8x + -0.5x = 0.3x 6 + 0.3x = -9 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 0.3x = -9 + 0.0 6 + 0.3x = -9 Add '-6' to each side of the equation. 6 + -6 + 0.3x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 0.3x = -9 + -6 0.3x = -9 + -6 Combine like terms: -9 + -6 = -15 0.3x = -15 Divide each side by '0.3'. x = -50 Simplifying x = -50
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