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Simplifying 0.5x + 17 = 4x + 10 Reorder the terms: 17 + 0.5x = 4x + 10 Reorder the terms: 17 + 0.5x = 10 + 4x Solving 17 + 0.5x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 0.5x + -4x = 10 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 17 + -3.5x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -3.5x = 10 + 0 17 + -3.5x = 10 Add '-17' to each side of the equation. 17 + -17 + -3.5x = 10 + -17 Combine like terms: 17 + -17 = 0 0 + -3.5x = 10 + -17 -3.5x = 10 + -17 Combine like terms: 10 + -17 = -7 -3.5x = -7 Divide each side by '-3.5'. x = 2 Simplifying x = 2
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