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Simplifying 8(8x + -8) = 8(6x + -8) + x Reorder the terms: 8(-8 + 8x) = 8(6x + -8) + x (-8 * 8 + 8x * 8) = 8(6x + -8) + x (-64 + 64x) = 8(6x + -8) + x Reorder the terms: -64 + 64x = 8(-8 + 6x) + x -64 + 64x = (-8 * 8 + 6x * 8) + x -64 + 64x = (-64 + 48x) + x Combine like terms: 48x + x = 49x -64 + 64x = -64 + 49x Add '64' to each side of the equation. -64 + 64 + 64x = -64 + 64 + 49x Combine like terms: -64 + 64 = 0 0 + 64x = -64 + 64 + 49x 64x = -64 + 64 + 49x Combine like terms: -64 + 64 = 0 64x = 0 + 49x 64x = 49x Solving 64x = 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 64x + -49x = 49x + -49x Combine like terms: 64x + -49x = 15x 15x = 49x + -49x Combine like terms: 49x + -49x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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