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Simplifying -12 = -6(2 + -8x) + 8(-7 + -7x) -12 = (2 * -6 + -8x * -6) + 8(-7 + -7x) -12 = (-12 + 48x) + 8(-7 + -7x) -12 = -12 + 48x + (-7 * 8 + -7x * 8) -12 = -12 + 48x + (-56 + -56x) Reorder the terms: -12 = -12 + -56 + 48x + -56x Combine like terms: -12 + -56 = -68 -12 = -68 + 48x + -56x Combine like terms: 48x + -56x = -8x -12 = -68 + -8x Solving -12 = -68 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 8x = -68 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 8x = -68 + 0 -12 + 8x = -68 Add '12' to each side of the equation. -12 + 12 + 8x = -68 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -68 + 12 8x = -68 + 12 Combine like terms: -68 + 12 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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