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Simplifying -8(1 + -4x) = 7(4x + 8) (1 * -8 + -4x * -8) = 7(4x + 8) (-8 + 32x) = 7(4x + 8) Reorder the terms: -8 + 32x = 7(8 + 4x) -8 + 32x = (8 * 7 + 4x * 7) -8 + 32x = (56 + 28x) Solving -8 + 32x = 56 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -8 + 32x + -28x = 56 + 28x + -28x Combine like terms: 32x + -28x = 4x -8 + 4x = 56 + 28x + -28x Combine like terms: 28x + -28x = 0 -8 + 4x = 56 + 0 -8 + 4x = 56 Add '8' to each side of the equation. -8 + 8 + 4x = 56 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 56 + 8 4x = 56 + 8 Combine like terms: 56 + 8 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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