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Simplifying 0.5x + 8 = 6x + -12 + -6.5x Reorder the terms: 8 + 0.5x = 6x + -12 + -6.5x Reorder the terms: 8 + 0.5x = -12 + 6x + -6.5x Combine like terms: 6x + -6.5x = -0.5x 8 + 0.5x = -12 + -0.5x Solving 8 + 0.5x = -12 + -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. 8 + 0.5x + 0.5x = -12 + -0.5x + 0.5x Combine like terms: 0.5x + 0.5x = 1x 8 + 1x = -12 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 8 + 1x = -12 + 0.0 8 + 1x = -12 Add '-8' to each side of the equation. 8 + -8 + 1x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -12 + -8 1x = -12 + -8 Combine like terms: -12 + -8 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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