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Simplifying 8(x + -8) = 1 + 7x Reorder the terms: 8(-8 + x) = 1 + 7x (-8 * 8 + x * 8) = 1 + 7x (-64 + 8x) = 1 + 7x Solving -64 + 8x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -64 + 8x + -7x = 1 + 7x + -7x Combine like terms: 8x + -7x = 1x -64 + 1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -64 + 1x = 1 + 0 -64 + 1x = 1 Add '64' to each side of the equation. -64 + 64 + 1x = 1 + 64 Combine like terms: -64 + 64 = 0 0 + 1x = 1 + 64 1x = 1 + 64 Combine like terms: 1 + 64 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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