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Simplifying (8x + 1) + (3x + -2) = 32 Reorder the terms: (1 + 8x) + (3x + -2) = 32 Remove parenthesis around (1 + 8x) 1 + 8x + (3x + -2) = 32 Reorder the terms: 1 + 8x + (-2 + 3x) = 32 Remove parenthesis around (-2 + 3x) 1 + 8x + -2 + 3x = 32 Reorder the terms: 1 + -2 + 8x + 3x = 32 Combine like terms: 1 + -2 = -1 -1 + 8x + 3x = 32 Combine like terms: 8x + 3x = 11x -1 + 11x = 32 Solving -1 + 11x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 32 + 1 11x = 32 + 1 Combine like terms: 32 + 1 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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