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Simplifying -8(x + 7) + 7(2x + 1) = 0 Reorder the terms: -8(7 + x) + 7(2x + 1) = 0 (7 * -8 + x * -8) + 7(2x + 1) = 0 (-56 + -8x) + 7(2x + 1) = 0 Reorder the terms: -56 + -8x + 7(1 + 2x) = 0 -56 + -8x + (1 * 7 + 2x * 7) = 0 -56 + -8x + (7 + 14x) = 0 Reorder the terms: -56 + 7 + -8x + 14x = 0 Combine like terms: -56 + 7 = -49 -49 + -8x + 14x = 0 Combine like terms: -8x + 14x = 6x -49 + 6x = 0 Solving -49 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 6x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 6x = 0 + 49 6x = 0 + 49 Combine like terms: 0 + 49 = 49 6x = 49 Divide each side by '6'. x = 8.166666667 Simplifying x = 8.166666667
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