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Simplifying -8(1 + -7x) + -8 = 8x + 32 (1 * -8 + -7x * -8) + -8 = 8x + 32 (-8 + 56x) + -8 = 8x + 32 Reorder the terms: -8 + -8 + 56x = 8x + 32 Combine like terms: -8 + -8 = -16 -16 + 56x = 8x + 32 Reorder the terms: -16 + 56x = 32 + 8x Solving -16 + 56x = 32 + 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. -16 + 56x + -8x = 32 + 8x + -8x Combine like terms: 56x + -8x = 48x -16 + 48x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 48x = 32 + 0 -16 + 48x = 32 Add '16' to each side of the equation. -16 + 16 + 48x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 48x = 32 + 16 48x = 32 + 16 Combine like terms: 32 + 16 = 48 48x = 48 Divide each side by '48'. x = 1 Simplifying x = 1
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