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Simplifying -6(-7x + -8) + 6(x + -8) = -8x + 7x Reorder the terms: -6(-8 + -7x) + 6(x + -8) = -8x + 7x (-8 * -6 + -7x * -6) + 6(x + -8) = -8x + 7x (48 + 42x) + 6(x + -8) = -8x + 7x Reorder the terms: 48 + 42x + 6(-8 + x) = -8x + 7x 48 + 42x + (-8 * 6 + x * 6) = -8x + 7x 48 + 42x + (-48 + 6x) = -8x + 7x Reorder the terms: 48 + -48 + 42x + 6x = -8x + 7x Combine like terms: 48 + -48 = 0 0 + 42x + 6x = -8x + 7x 42x + 6x = -8x + 7x Combine like terms: 42x + 6x = 48x 48x = -8x + 7x Combine like terms: -8x + 7x = -1x 48x = -1x Solving 48x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 48x + x = -1x + x Combine like terms: 48x + x = 49x 49x = -1x + x Combine like terms: -1x + x = 0 49x = 0 Divide each side by '49'. x = 0 Simplifying x = 0
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