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Simplifying 52 = 2(x + 6) + 2(9) Reorder the terms: 52 = 2(6 + x) + 2(9) 52 = (6 * 2 + x * 2) + 2(9) 52 = (12 + 2x) + 2(9) Multiply 2 * 9 52 = 12 + 2x + 18 Reorder the terms: 52 = 12 + 18 + 2x Combine like terms: 12 + 18 = 30 52 = 30 + 2x Solving 52 = 30 + 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. 52 + -2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 52 + -2x = 30 + 0 52 + -2x = 30 Add '-52' to each side of the equation. 52 + -52 + -2x = 30 + -52 Combine like terms: 52 + -52 = 0 0 + -2x = 30 + -52 -2x = 30 + -52 Combine like terms: 30 + -52 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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