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Simplifying 0.5x + 5 = 2x + -17 Reorder the terms: 5 + 0.5x = 2x + -17 Reorder the terms: 5 + 0.5x = -17 + 2x Solving 5 + 0.5x = -17 + 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 = -17 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 5 + -1.5x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1.5x = -17 + 0 5 + -1.5x = -17 Add '-5' to each side of the equation. 5 + -5 + -1.5x = -17 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5x = -17 + -5 -1.5x = -17 + -5 Combine like terms: -17 + -5 = -22 -1.5x = -22 Divide each side by '-1.5'. x = 14.66666667 Simplifying x = 14.66666667
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