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Simplifying -6 + -7(8x + -4) = -1(7 + -9x) + -1(x + -9) Reorder the terms: -6 + -7(-4 + 8x) = -1(7 + -9x) + -1(x + -9) -6 + (-4 * -7 + 8x * -7) = -1(7 + -9x) + -1(x + -9) -6 + (28 + -56x) = -1(7 + -9x) + -1(x + -9) Combine like terms: -6 + 28 = 22 22 + -56x = -1(7 + -9x) + -1(x + -9) 22 + -56x = (7 * -1 + -9x * -1) + -1(x + -9) 22 + -56x = (-7 + 9x) + -1(x + -9) Reorder the terms: 22 + -56x = -7 + 9x + -1(-9 + x) 22 + -56x = -7 + 9x + (-9 * -1 + x * -1) 22 + -56x = -7 + 9x + (9 + -1x) Reorder the terms: 22 + -56x = -7 + 9 + 9x + -1x Combine like terms: -7 + 9 = 2 22 + -56x = 2 + 9x + -1x Combine like terms: 9x + -1x = 8x 22 + -56x = 2 + 8x Solving 22 + -56x = 2 + 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. 22 + -56x + -8x = 2 + 8x + -8x Combine like terms: -56x + -8x = -64x 22 + -64x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -64x = 2 + 0 22 + -64x = 2 Add '-22' to each side of the equation. 22 + -22 + -64x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + -64x = 2 + -22 -64x = 2 + -22 Combine like terms: 2 + -22 = -20 -64x = -20 Divide each side by '-64'. x = 0.3125 Simplifying x = 0.3125
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