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Simplifying -91 = -3x + -8(5x + 6) Reorder the terms: -91 = -3x + -8(6 + 5x) -91 = -3x + (6 * -8 + 5x * -8) -91 = -3x + (-48 + -40x) Reorder the terms: -91 = -48 + -3x + -40x Combine like terms: -3x + -40x = -43x -91 = -48 + -43x Solving -91 = -48 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. -91 + 43x = -48 + -43x + 43x Combine like terms: -43x + 43x = 0 -91 + 43x = -48 + 0 -91 + 43x = -48 Add '91' to each side of the equation. -91 + 91 + 43x = -48 + 91 Combine like terms: -91 + 91 = 0 0 + 43x = -48 + 91 43x = -48 + 91 Combine like terms: -48 + 91 = 43 43x = 43 Divide each side by '43'. x = 1 Simplifying x = 1
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