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Simplifying -6 + -7(8x + -4) = -1(7 + -9x) + -1(9x) Reorder the terms: -6 + -7(-4 + 8x) = -1(7 + -9x) + -1(9x) -6 + (-4 * -7 + 8x * -7) = -1(7 + -9x) + -1(9x) -6 + (28 + -56x) = -1(7 + -9x) + -1(9x) Combine like terms: -6 + 28 = 22 22 + -56x = -1(7 + -9x) + -1(9x) 22 + -56x = (7 * -1 + -9x * -1) + -1(9x) 22 + -56x = (-7 + 9x) + -1(9x) Remove parenthesis around (9x) 22 + -56x = -7 + 9x + -1 * 9x Multiply -1 * 9 22 + -56x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -56x = -7 + 0 22 + -56x = -7 Solving 22 + -56x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -56x = -7 + -22 Combine like terms: 22 + -22 = 0 0 + -56x = -7 + -22 -56x = -7 + -22 Combine like terms: -7 + -22 = -29 -56x = -29 Divide each side by '-56'. x = 0.5178571429 Simplifying x = 0.5178571429
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