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Simplifying 5 = 0.5(x + 13) Reorder the terms: 5 = 0.5(13 + x) 5 = (13 * 0.5 + x * 0.5) 5 = (6.5 + 0.5x) Solving 5 = 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. 5 + -0.5x = 6.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + -0.5x = 6.5 + 0.0 5 + -0.5x = 6.5 Add '-5' to each side of the equation. 5 + -5 + -0.5x = 6.5 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x = 6.5 + -5 -0.5x = 6.5 + -5 Combine like terms: 6.5 + -5 = 1.5 -0.5x = 1.5 Divide each side by '-0.5'. x = -3 Simplifying x = -3
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