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Simplifying x + (x + 1) + (x + 7) + (x + 8) = 64 Reorder the terms: x + (1 + x) + (x + 7) + (x + 8) = 64 Remove parenthesis around (1 + x) x + 1 + x + (x + 7) + (x + 8) = 64 Reorder the terms: x + 1 + x + (7 + x) + (x + 8) = 64 Remove parenthesis around (7 + x) x + 1 + x + 7 + x + (x + 8) = 64 Reorder the terms: x + 1 + x + 7 + x + (8 + x) = 64 Remove parenthesis around (8 + x) x + 1 + x + 7 + x + 8 + x = 64 Reorder the terms: 1 + 7 + 8 + x + x + x + x = 64 Combine like terms: 1 + 7 = 8 8 + 8 + x + x + x + x = 64 Combine like terms: 8 + 8 = 16 16 + x + x + x + x = 64 Combine like terms: x + x = 2x 16 + 2x + x + x = 64 Combine like terms: 2x + x = 3x 16 + 3x + x = 64 Combine like terms: 3x + x = 4x 16 + 4x = 64 Solving 16 + 4x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4x = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 64 + -16 4x = 64 + -16 Combine like terms: 64 + -16 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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