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Simplifying -7(4 + -4x) = -8(x + 8) (4 * -7 + -4x * -7) = -8(x + 8) (-28 + 28x) = -8(x + 8) Reorder the terms: -28 + 28x = -8(8 + x) -28 + 28x = (8 * -8 + x * -8) -28 + 28x = (-64 + -8x) Solving -28 + 28x = -64 + -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. -28 + 28x + 8x = -64 + -8x + 8x Combine like terms: 28x + 8x = 36x -28 + 36x = -64 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + 36x = -64 + 0 -28 + 36x = -64 Add '28' to each side of the equation. -28 + 28 + 36x = -64 + 28 Combine like terms: -28 + 28 = 0 0 + 36x = -64 + 28 36x = -64 + 28 Combine like terms: -64 + 28 = -36 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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