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Simplifying 7x + 22 = 3x + 10 Reorder the terms: 22 + 7x = 3x + 10 Reorder the terms: 22 + 7x = 10 + 3x Solving 22 + 7x = 10 + 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. 22 + 7x + -3x = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x 22 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 4x = 10 + 0 22 + 4x = 10 Add '-22' to each side of the equation. 22 + -22 + 4x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 10 + -22 4x = 10 + -22 Combine like terms: 10 + -22 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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