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Simplifying 4x + 9 + 3x + 22 = 8x + 14 Reorder the terms: 9 + 22 + 4x + 3x = 8x + 14 Combine like terms: 9 + 22 = 31 31 + 4x + 3x = 8x + 14 Combine like terms: 4x + 3x = 7x 31 + 7x = 8x + 14 Reorder the terms: 31 + 7x = 14 + 8x Solving 31 + 7x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + 7x + -8x = 14 + 8x + -8x Combine like terms: 7x + -8x = -1x 31 + -1x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -1x = 14 + 0 31 + -1x = 14 Add '-31' to each side of the equation. 31 + -31 + -1x = 14 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 14 + -31 -1x = 14 + -31 Combine like terms: 14 + -31 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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