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Simplifying 8(7x + -1) = 27(2x + -2) Reorder the terms: 8(-1 + 7x) = 27(2x + -2) (-1 * 8 + 7x * 8) = 27(2x + -2) (-8 + 56x) = 27(2x + -2) Reorder the terms: -8 + 56x = 27(-2 + 2x) -8 + 56x = (-2 * 27 + 2x * 27) -8 + 56x = (-54 + 54x) Solving -8 + 56x = -54 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -8 + 56x + -54x = -54 + 54x + -54x Combine like terms: 56x + -54x = 2x -8 + 2x = -54 + 54x + -54x Combine like terms: 54x + -54x = 0 -8 + 2x = -54 + 0 -8 + 2x = -54 Add '8' to each side of the equation. -8 + 8 + 2x = -54 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -54 + 8 2x = -54 + 8 Combine like terms: -54 + 8 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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