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Simplifying -6(8x + -1) = -37 + -5x Reorder the terms: -6(-1 + 8x) = -37 + -5x (-1 * -6 + 8x * -6) = -37 + -5x (6 + -48x) = -37 + -5x Solving 6 + -48x = -37 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -48x + 5x = -37 + -5x + 5x Combine like terms: -48x + 5x = -43x 6 + -43x = -37 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + -43x = -37 + 0 6 + -43x = -37 Add '-6' to each side of the equation. 6 + -6 + -43x = -37 + -6 Combine like terms: 6 + -6 = 0 0 + -43x = -37 + -6 -43x = -37 + -6 Combine like terms: -37 + -6 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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