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Simplifying 7x + 12 = 2x + 22 Reorder the terms: 12 + 7x = 2x + 22 Reorder the terms: 12 + 7x = 22 + 2x Solving 12 + 7x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 7x + -2x = 22 + 2x + -2x Combine like terms: 7x + -2x = 5x 12 + 5x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 5x = 22 + 0 12 + 5x = 22 Add '-12' to each side of the equation. 12 + -12 + 5x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 22 + -12 5x = 22 + -12 Combine like terms: 22 + -12 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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