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Simplifying 22x + 17 = 3x + 4x + 32 Reorder the terms: 17 + 22x = 3x + 4x + 32 Reorder the terms: 17 + 22x = 32 + 3x + 4x Combine like terms: 3x + 4x = 7x 17 + 22x = 32 + 7x Solving 17 + 22x = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 22x + -7x = 32 + 7x + -7x Combine like terms: 22x + -7x = 15x 17 + 15x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + 15x = 32 + 0 17 + 15x = 32 Add '-17' to each side of the equation. 17 + -17 + 15x = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 15x = 32 + -17 15x = 32 + -17 Combine like terms: 32 + -17 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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