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Simplifying 0.5x + 17 = x + -33 Reorder the terms: 17 + 0.5x = x + -33 Reorder the terms: 17 + 0.5x = -33 + x Solving 17 + 0.5x = -33 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 0.5x + -1x = -33 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 17 + -0.5x = -33 + x + -1x Combine like terms: x + -1x = 0 17 + -0.5x = -33 + 0 17 + -0.5x = -33 Add '-17' to each side of the equation. 17 + -17 + -0.5x = -33 + -17 Combine like terms: 17 + -17 = 0 0 + -0.5x = -33 + -17 -0.5x = -33 + -17 Combine like terms: -33 + -17 = -50 -0.5x = -50 Divide each side by '-0.5'. x = 100 Simplifying x = 100
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