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Simplifying (8x + 2) + -1(4x + 1) = 0 Reorder the terms: (2 + 8x) + -1(4x + 1) = 0 Remove parenthesis around (2 + 8x) 2 + 8x + -1(4x + 1) = 0 Reorder the terms: 2 + 8x + -1(1 + 4x) = 0 2 + 8x + (1 * -1 + 4x * -1) = 0 2 + 8x + (-1 + -4x) = 0 Reorder the terms: 2 + -1 + 8x + -4x = 0 Combine like terms: 2 + -1 = 1 1 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 1 + 4x = 0 Solving 1 + 4x = 0 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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