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Simplifying -8(7x + 6) + -6(x + 8) = -34 Reorder the terms: -8(6 + 7x) + -6(x + 8) = -34 (6 * -8 + 7x * -8) + -6(x + 8) = -34 (-48 + -56x) + -6(x + 8) = -34 Reorder the terms: -48 + -56x + -6(8 + x) = -34 -48 + -56x + (8 * -6 + x * -6) = -34 -48 + -56x + (-48 + -6x) = -34 Reorder the terms: -48 + -48 + -56x + -6x = -34 Combine like terms: -48 + -48 = -96 -96 + -56x + -6x = -34 Combine like terms: -56x + -6x = -62x -96 + -62x = -34 Solving -96 + -62x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + -62x = -34 + 96 Combine like terms: -96 + 96 = 0 0 + -62x = -34 + 96 -62x = -34 + 96 Combine like terms: -34 + 96 = 62 -62x = 62 Divide each side by '-62'. x = -1 Simplifying x = -1
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