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Simplifying 2x + 52 = 6x + 12 Reorder the terms: 52 + 2x = 6x + 12 Reorder the terms: 52 + 2x = 12 + 6x Solving 52 + 2x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 52 + 2x + -6x = 12 + 6x + -6x Combine like terms: 2x + -6x = -4x 52 + -4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 52 + -4x = 12 + 0 52 + -4x = 12 Add '-52' to each side of the equation. 52 + -52 + -4x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = 12 + -52 -4x = 12 + -52 Combine like terms: 12 + -52 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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