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Simplifying 0.5x + 8 = 2x + -13 Reorder the terms: 8 + 0.5x = 2x + -13 Reorder the terms: 8 + 0.5x = -13 + 2x Solving 8 + 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. 8 + 0.5x + -2x = -13 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 8 + -1.5x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1.5x = -13 + 0 8 + -1.5x = -13 Add '-8' to each side of the equation. 8 + -8 + -1.5x = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -1.5x = -13 + -8 -1.5x = -13 + -8 Combine like terms: -13 + -8 = -21 -1.5x = -21 Divide each side by '-1.5'. x = 14 Simplifying x = 14
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