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Simplifying -5(7x + 4) + -1(8x + 2) + -6x + 6 = 0 Reorder the terms: -5(4 + 7x) + -1(8x + 2) + -6x + 6 = 0 (4 * -5 + 7x * -5) + -1(8x + 2) + -6x + 6 = 0 (-20 + -35x) + -1(8x + 2) + -6x + 6 = 0 Reorder the terms: -20 + -35x + -1(2 + 8x) + -6x + 6 = 0 -20 + -35x + (2 * -1 + 8x * -1) + -6x + 6 = 0 -20 + -35x + (-2 + -8x) + -6x + 6 = 0 Reorder the terms: -20 + -2 + 6 + -35x + -8x + -6x = 0 Combine like terms: -20 + -2 = -22 -22 + 6 + -35x + -8x + -6x = 0 Combine like terms: -22 + 6 = -16 -16 + -35x + -8x + -6x = 0 Combine like terms: -35x + -8x = -43x -16 + -43x + -6x = 0 Combine like terms: -43x + -6x = -49x -16 + -49x = 0 Solving -16 + -49x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -49x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -49x = 0 + 16 -49x = 0 + 16 Combine like terms: 0 + 16 = 16 -49x = 16 Divide each side by '-49'. x = -0.3265306122 Simplifying x = -0.3265306122
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