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Simplifying -6 + -7(8x + -4) = -1(7 + -9) + -1(x + -9) Reorder the terms: -6 + -7(-4 + 8x) = -1(7 + -9) + -1(x + -9) -6 + (-4 * -7 + 8x * -7) = -1(7 + -9) + -1(x + -9) -6 + (28 + -56x) = -1(7 + -9) + -1(x + -9) Combine like terms: -6 + 28 = 22 22 + -56x = -1(7 + -9) + -1(x + -9) Combine like terms: 7 + -9 = -2 22 + -56x = -1(-2) + -1(x + -9) Multiply -1 * -2 22 + -56x = 2 + -1(x + -9) Reorder the terms: 22 + -56x = 2 + -1(-9 + x) 22 + -56x = 2 + (-9 * -1 + x * -1) 22 + -56x = 2 + (9 + -1x) Combine like terms: 2 + 9 = 11 22 + -56x = 11 + -1x Solving 22 + -56x = 11 + -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. 22 + -56x + x = 11 + -1x + x Combine like terms: -56x + x = -55x 22 + -55x = 11 + -1x + x Combine like terms: -1x + x = 0 22 + -55x = 11 + 0 22 + -55x = 11 Add '-22' to each side of the equation. 22 + -22 + -55x = 11 + -22 Combine like terms: 22 + -22 = 0 0 + -55x = 11 + -22 -55x = 11 + -22 Combine like terms: 11 + -22 = -11 -55x = -11 Divide each side by '-55'. x = 0.2 Simplifying x = 0.2
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