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Simplifying -6x + 34 = -5 + 0.5x Reorder the terms: 34 + -6x = -5 + 0.5x Solving 34 + -6x = -5 + 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. 34 + -6x + -0.5x = -5 + 0.5x + -0.5x Combine like terms: -6x + -0.5x = -6.5x 34 + -6.5x = -5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 34 + -6.5x = -5 + 0.0 34 + -6.5x = -5 Add '-34' to each side of the equation. 34 + -34 + -6.5x = -5 + -34 Combine like terms: 34 + -34 = 0 0 + -6.5x = -5 + -34 -6.5x = -5 + -34 Combine like terms: -5 + -34 = -39 -6.5x = -39 Divide each side by '-6.5'. x = 6 Simplifying x = 6
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