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Simplifying 64 = 12 + 12 + (x + 6) + (x + 6) Reorder the terms: 64 = 12 + 12 + (6 + x) + (x + 6) Remove parenthesis around (6 + x) 64 = 12 + 12 + 6 + x + (x + 6) Reorder the terms: 64 = 12 + 12 + 6 + x + (6 + x) Remove parenthesis around (6 + x) 64 = 12 + 12 + 6 + x + 6 + x Reorder the terms: 64 = 12 + 12 + 6 + 6 + x + x Combine like terms: 12 + 12 = 24 64 = 24 + 6 + 6 + x + x Combine like terms: 24 + 6 = 30 64 = 30 + 6 + x + x Combine like terms: 30 + 6 = 36 64 = 36 + x + x Combine like terms: x + x = 2x 64 = 36 + 2x Solving 64 = 36 + 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. 64 + -2x = 36 + 2x + -2x Combine like terms: 2x + -2x = 0 64 + -2x = 36 + 0 64 + -2x = 36 Add '-64' to each side of the equation. 64 + -64 + -2x = 36 + -64 Combine like terms: 64 + -64 = 0 0 + -2x = 36 + -64 -2x = 36 + -64 Combine like terms: 36 + -64 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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