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Simplifying -5x + 13 = 0.5x + -6.5 Reorder the terms: 13 + -5x = 0.5x + -6.5 Reorder the terms: 13 + -5x = -6.5 + 0.5x Solving 13 + -5x = -6.5 + 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. 13 + -5x + -0.5x = -6.5 + 0.5x + -0.5x Combine like terms: -5x + -0.5x = -5.5x 13 + -5.5x = -6.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 13 + -5.5x = -6.5 + 0.0 13 + -5.5x = -6.5 Add '-13' to each side of the equation. 13 + -13 + -5.5x = -6.5 + -13 Combine like terms: 13 + -13 = 0 0 + -5.5x = -6.5 + -13 -5.5x = -6.5 + -13 Combine like terms: -6.5 + -13 = -19.5 -5.5x = -19.5 Divide each side by '-5.5'. x = 3.545454545 Simplifying x = 3.545454545
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