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Simplifying -7(1 + -7x) + -5 = -5 + -8(x + 8) (1 * -7 + -7x * -7) + -5 = -5 + -8(x + 8) (-7 + 49x) + -5 = -5 + -8(x + 8) Reorder the terms: -7 + -5 + 49x = -5 + -8(x + 8) Combine like terms: -7 + -5 = -12 -12 + 49x = -5 + -8(x + 8) Reorder the terms: -12 + 49x = -5 + -8(8 + x) -12 + 49x = -5 + (8 * -8 + x * -8) -12 + 49x = -5 + (-64 + -8x) Combine like terms: -5 + -64 = -69 -12 + 49x = -69 + -8x Solving -12 + 49x = -69 + -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 + 49x + 8x = -69 + -8x + 8x Combine like terms: 49x + 8x = 57x -12 + 57x = -69 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 57x = -69 + 0 -12 + 57x = -69 Add '12' to each side of the equation. -12 + 12 + 57x = -69 + 12 Combine like terms: -12 + 12 = 0 0 + 57x = -69 + 12 57x = -69 + 12 Combine like terms: -69 + 12 = -57 57x = -57 Divide each side by '57'. x = -1 Simplifying x = -1
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