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Simplifying 8.5x + 3 + -2x = 7 + -0.5x + 17 Reorder the terms: 3 + 8.5x + -2x = 7 + -0.5x + 17 Combine like terms: 8.5x + -2x = 6.5x 3 + 6.5x = 7 + -0.5x + 17 Reorder the terms: 3 + 6.5x = 7 + 17 + -0.5x Combine like terms: 7 + 17 = 24 3 + 6.5x = 24 + -0.5x Solving 3 + 6.5x = 24 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 3 + 6.5x + 0.5x = 24 + -0.5x + 0.5x Combine like terms: 6.5x + 0.5x = 7x 3 + 7x = 24 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 3 + 7x = 24 + 0.0 3 + 7x = 24 Add '-3' to each side of the equation. 3 + -3 + 7x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 24 + -3 7x = 24 + -3 Combine like terms: 24 + -3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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