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Simplifying (8x + 1) + -1(5x + -2) = 0 Reorder the terms: (1 + 8x) + -1(5x + -2) = 0 Remove parenthesis around (1 + 8x) 1 + 8x + -1(5x + -2) = 0 Reorder the terms: 1 + 8x + -1(-2 + 5x) = 0 1 + 8x + (-2 * -1 + 5x * -1) = 0 1 + 8x + (2 + -5x) = 0 Reorder the terms: 1 + 2 + 8x + -5x = 0 Combine like terms: 1 + 2 = 3 3 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x 3 + 3x = 0 Solving 3 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 0 + -3 3x = 0 + -3 Combine like terms: 0 + -3 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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