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Simplifying 0.5x + 2 = 6x + 13 Reorder the terms: 2 + 0.5x = 6x + 13 Reorder the terms: 2 + 0.5x = 13 + 6x Solving 2 + 0.5x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 0.5x + -6x = 13 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x 2 + -5.5x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -5.5x = 13 + 0 2 + -5.5x = 13 Add '-2' to each side of the equation. 2 + -2 + -5.5x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -5.5x = 13 + -2 -5.5x = 13 + -2 Combine like terms: 13 + -2 = 11 -5.5x = 11 Divide each side by '-5.5'. x = -2 Simplifying x = -2
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