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Simplifying (2x + 8) + (3x + -4) + -1(6x + 1) = 0 Reorder the terms: (8 + 2x) + (3x + -4) + -1(6x + 1) = 0 Remove parenthesis around (8 + 2x) 8 + 2x + (3x + -4) + -1(6x + 1) = 0 Reorder the terms: 8 + 2x + (-4 + 3x) + -1(6x + 1) = 0 Remove parenthesis around (-4 + 3x) 8 + 2x + -4 + 3x + -1(6x + 1) = 0 Reorder the terms: 8 + 2x + -4 + 3x + -1(1 + 6x) = 0 8 + 2x + -4 + 3x + (1 * -1 + 6x * -1) = 0 8 + 2x + -4 + 3x + (-1 + -6x) = 0 Reorder the terms: 8 + -4 + -1 + 2x + 3x + -6x = 0 Combine like terms: 8 + -4 = 4 4 + -1 + 2x + 3x + -6x = 0 Combine like terms: 4 + -1 = 3 3 + 2x + 3x + -6x = 0 Combine like terms: 2x + 3x = 5x 3 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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