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Simplifying 7x + 5 = -5 + 3x + 22 Reorder the terms: 5 + 7x = -5 + 3x + 22 Reorder the terms: 5 + 7x = -5 + 22 + 3x Combine like terms: -5 + 22 = 17 5 + 7x = 17 + 3x Solving 5 + 7x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 7x + -3x = 17 + 3x + -3x Combine like terms: 7x + -3x = 4x 5 + 4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 4x = 17 + 0 5 + 4x = 17 Add '-5' to each side of the equation. 5 + -5 + 4x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 17 + -5 4x = 17 + -5 Combine like terms: 17 + -5 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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