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Simplifying (8x + 2) + (x + -6) + -1(5x + 4) = 0 Reorder the terms: (2 + 8x) + (x + -6) + -1(5x + 4) = 0 Remove parenthesis around (2 + 8x) 2 + 8x + (x + -6) + -1(5x + 4) = 0 Reorder the terms: 2 + 8x + (-6 + x) + -1(5x + 4) = 0 Remove parenthesis around (-6 + x) 2 + 8x + -6 + x + -1(5x + 4) = 0 Reorder the terms: 2 + 8x + -6 + x + -1(4 + 5x) = 0 2 + 8x + -6 + x + (4 * -1 + 5x * -1) = 0 2 + 8x + -6 + x + (-4 + -5x) = 0 Reorder the terms: 2 + -6 + -4 + 8x + x + -5x = 0 Combine like terms: 2 + -6 = -4 -4 + -4 + 8x + x + -5x = 0 Combine like terms: -4 + -4 = -8 -8 + 8x + x + -5x = 0 Combine like terms: 8x + x = 9x -8 + 9x + -5x = 0 Combine like terms: 9x + -5x = 4x -8 + 4x = 0 Solving -8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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