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Simplifying -8(x + 4) + 7(2x + 1) = 0 Reorder the terms: -8(4 + x) + 7(2x + 1) = 0 (4 * -8 + x * -8) + 7(2x + 1) = 0 (-32 + -8x) + 7(2x + 1) = 0 Reorder the terms: -32 + -8x + 7(1 + 2x) = 0 -32 + -8x + (1 * 7 + 2x * 7) = 0 -32 + -8x + (7 + 14x) = 0 Reorder the terms: -32 + 7 + -8x + 14x = 0 Combine like terms: -32 + 7 = -25 -25 + -8x + 14x = 0 Combine like terms: -8x + 14x = 6x -25 + 6x = 0 Solving -25 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 6x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = 0 + 25 6x = 0 + 25 Combine like terms: 0 + 25 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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