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Simplifying -8(x + 6) + 7(2x + 1) = 0 Reorder the terms: -8(6 + x) + 7(2x + 1) = 0 (6 * -8 + x * -8) + 7(2x + 1) = 0 (-48 + -8x) + 7(2x + 1) = 0 Reorder the terms: -48 + -8x + 7(1 + 2x) = 0 -48 + -8x + (1 * 7 + 2x * 7) = 0 -48 + -8x + (7 + 14x) = 0 Reorder the terms: -48 + 7 + -8x + 14x = 0 Combine like terms: -48 + 7 = -41 -41 + -8x + 14x = 0 Combine like terms: -8x + 14x = 6x -41 + 6x = 0 Solving -41 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 6x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 6x = 0 + 41 6x = 0 + 41 Combine like terms: 0 + 41 = 41 6x = 41 Divide each side by '6'. x = 6.833333333 Simplifying x = 6.833333333
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