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Simplifying (x + 1) + (x + 3) + (x + 5) + (x + 7) = -32 Reorder the terms: (1 + x) + (x + 3) + (x + 5) + (x + 7) = -32 Remove parenthesis around (1 + x) 1 + x + (x + 3) + (x + 5) + (x + 7) = -32 Reorder the terms: 1 + x + (3 + x) + (x + 5) + (x + 7) = -32 Remove parenthesis around (3 + x) 1 + x + 3 + x + (x + 5) + (x + 7) = -32 Reorder the terms: 1 + x + 3 + x + (5 + x) + (x + 7) = -32 Remove parenthesis around (5 + x) 1 + x + 3 + x + 5 + x + (x + 7) = -32 Reorder the terms: 1 + x + 3 + x + 5 + x + (7 + x) = -32 Remove parenthesis around (7 + x) 1 + x + 3 + x + 5 + x + 7 + x = -32 Reorder the terms: 1 + 3 + 5 + 7 + x + x + x + x = -32 Combine like terms: 1 + 3 = 4 4 + 5 + 7 + x + x + x + x = -32 Combine like terms: 4 + 5 = 9 9 + 7 + x + x + x + x = -32 Combine like terms: 9 + 7 = 16 16 + x + x + x + x = -32 Combine like terms: x + x = 2x 16 + 2x + x + x = -32 Combine like terms: 2x + x = 3x 16 + 3x + x = -32 Combine like terms: 3x + x = 4x 16 + 4x = -32 Solving 16 + 4x = -32 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 = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = -32 + -16 4x = -32 + -16 Combine like terms: -32 + -16 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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