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Simplifying 0.5x + 5 = 2x + -13 Reorder the terms: 5 + 0.5x = 2x + -13 Reorder the terms: 5 + 0.5x = -13 + 2x Solving 5 + 0.5x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 0.5x + -2x = -13 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 5 + -1.5x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1.5x = -13 + 0 5 + -1.5x = -13 Add '-5' to each side of the equation. 5 + -5 + -1.5x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5x = -13 + -5 -1.5x = -13 + -5 Combine like terms: -13 + -5 = -18 -1.5x = -18 Divide each side by '-1.5'. x = 12 Simplifying x = 12
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