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Simplifying 7 + -1[5 + -1(-8x + -4)] = 112x + 91 Reorder the terms: 7 + -1[5 + -1(-4 + -8x)] = 112x + 91 7 + -1[5 + (-4 * -1 + -8x * -1)] = 112x + 91 7 + -1[5 + (4 + 8x)] = 112x + 91 Combine like terms: 5 + 4 = 9 7 + -1[9 + 8x] = 112x + 91 7 + [9 * -1 + 8x * -1] = 112x + 91 7 + [-9 + -8x] = 112x + 91 Combine like terms: 7 + -9 = -2 -2 + -8x = 112x + 91 Reorder the terms: -2 + -8x = 91 + 112x Solving -2 + -8x = 91 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. -2 + -8x + -112x = 91 + 112x + -112x Combine like terms: -8x + -112x = -120x -2 + -120x = 91 + 112x + -112x Combine like terms: 112x + -112x = 0 -2 + -120x = 91 + 0 -2 + -120x = 91 Add '2' to each side of the equation. -2 + 2 + -120x = 91 + 2 Combine like terms: -2 + 2 = 0 0 + -120x = 91 + 2 -120x = 91 + 2 Combine like terms: 91 + 2 = 93 -120x = 93 Divide each side by '-120'. x = -0.775 Simplifying x = -0.775
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