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Simplifying -7(8 + -8x) + 2 = 10 + -8x (8 * -7 + -8x * -7) + 2 = 10 + -8x (-56 + 56x) + 2 = 10 + -8x Reorder the terms: -56 + 2 + 56x = 10 + -8x Combine like terms: -56 + 2 = -54 -54 + 56x = 10 + -8x Solving -54 + 56x = 10 + -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. -54 + 56x + 8x = 10 + -8x + 8x Combine like terms: 56x + 8x = 64x -54 + 64x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -54 + 64x = 10 + 0 -54 + 64x = 10 Add '54' to each side of the equation. -54 + 54 + 64x = 10 + 54 Combine like terms: -54 + 54 = 0 0 + 64x = 10 + 54 64x = 10 + 54 Combine like terms: 10 + 54 = 64 64x = 64 Divide each side by '64'. x = 1 Simplifying x = 1
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