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Simplifying 2x + 52 = 7x + 12 Reorder the terms: 52 + 2x = 7x + 12 Reorder the terms: 52 + 2x = 12 + 7x Solving 52 + 2x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + 2x + -7x = 12 + 7x + -7x Combine like terms: 2x + -7x = -5x 52 + -5x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -5x = 12 + 0 52 + -5x = 12 Add '-52' to each side of the equation. 52 + -52 + -5x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -5x = 12 + -52 -5x = 12 + -52 Combine like terms: 12 + -52 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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