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Simplifying -8(x + 6) + (2x + 1) = 0 Reorder the terms: -8(6 + x) + (2x + 1) = 0 (6 * -8 + x * -8) + (2x + 1) = 0 (-48 + -8x) + (2x + 1) = 0 Reorder the terms: -48 + -8x + (1 + 2x) = 0 Remove parenthesis around (1 + 2x) -48 + -8x + 1 + 2x = 0 Reorder the terms: -48 + 1 + -8x + 2x = 0 Combine like terms: -48 + 1 = -47 -47 + -8x + 2x = 0 Combine like terms: -8x + 2x = -6x -47 + -6x = 0 Solving -47 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -6x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -6x = 0 + 47 -6x = 0 + 47 Combine like terms: 0 + 47 = 47 -6x = 47 Divide each side by '-6'. x = -7.833333333 Simplifying x = -7.833333333
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