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Simplifying 5x + 0.5x + 6 = 3.5x + 22 Reorder the terms: 6 + 5x + 0.5x = 3.5x + 22 Combine like terms: 5x + 0.5x = 5.5x 6 + 5.5x = 3.5x + 22 Reorder the terms: 6 + 5.5x = 22 + 3.5x Solving 6 + 5.5x = 22 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 6 + 5.5x + -3.5x = 22 + 3.5x + -3.5x Combine like terms: 5.5x + -3.5x = 2x 6 + 2x = 22 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 6 + 2x = 22 + 0.0 6 + 2x = 22 Add '-6' to each side of the equation. 6 + -6 + 2x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 22 + -6 2x = 22 + -6 Combine like terms: 22 + -6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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