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Simplifying 7x + 2 = -5 + 4x + 22 Reorder the terms: 2 + 7x = -5 + 4x + 22 Reorder the terms: 2 + 7x = -5 + 22 + 4x Combine like terms: -5 + 22 = 17 2 + 7x = 17 + 4x Solving 2 + 7x = 17 + 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. 2 + 7x + -4x = 17 + 4x + -4x Combine like terms: 7x + -4x = 3x 2 + 3x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 3x = 17 + 0 2 + 3x = 17 Add '-2' to each side of the equation. 2 + -2 + 3x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 17 + -2 3x = 17 + -2 Combine like terms: 17 + -2 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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