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Simplifying (8x + 1) + -1(4x + -5) = 2 Reorder the terms: (1 + 8x) + -1(4x + -5) = 2 Remove parenthesis around (1 + 8x) 1 + 8x + -1(4x + -5) = 2 Reorder the terms: 1 + 8x + -1(-5 + 4x) = 2 1 + 8x + (-5 * -1 + 4x * -1) = 2 1 + 8x + (5 + -4x) = 2 Reorder the terms: 1 + 5 + 8x + -4x = 2 Combine like terms: 1 + 5 = 6 6 + 8x + -4x = 2 Combine like terms: 8x + -4x = 4x 6 + 4x = 2 Solving 6 + 4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 2 + -6 4x = 2 + -6 Combine like terms: 2 + -6 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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