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Simplifying 12 + 7x = 2x + 52 Reorder the terms: 12 + 7x = 52 + 2x Solving 12 + 7x = 52 + 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 = 52 + 2x + -2x Combine like terms: 7x + -2x = 5x 12 + 5x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 5x = 52 + 0 12 + 5x = 52 Add '-12' to each side of the equation. 12 + -12 + 5x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 52 + -12 5x = 52 + -12 Combine like terms: 52 + -12 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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