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Simplifying 52 = 2(5x + 6) Reorder the terms: 52 = 2(6 + 5x) 52 = (6 * 2 + 5x * 2) 52 = (12 + 10x) Solving 52 = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 52 + -10x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 52 + -10x = 12 + 0 52 + -10x = 12 Add '-52' to each side of the equation. 52 + -52 + -10x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -10x = 12 + -52 -10x = 12 + -52 Combine like terms: 12 + -52 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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