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Simplifying -7(-8x + 8) = 6(9x + 6) Reorder the terms: -7(8 + -8x) = 6(9x + 6) (8 * -7 + -8x * -7) = 6(9x + 6) (-56 + 56x) = 6(9x + 6) Reorder the terms: -56 + 56x = 6(6 + 9x) -56 + 56x = (6 * 6 + 9x * 6) -56 + 56x = (36 + 54x) Solving -56 + 56x = 36 + 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. -56 + 56x + -54x = 36 + 54x + -54x Combine like terms: 56x + -54x = 2x -56 + 2x = 36 + 54x + -54x Combine like terms: 54x + -54x = 0 -56 + 2x = 36 + 0 -56 + 2x = 36 Add '56' to each side of the equation. -56 + 56 + 2x = 36 + 56 Combine like terms: -56 + 56 = 0 0 + 2x = 36 + 56 2x = 36 + 56 Combine like terms: 36 + 56 = 92 2x = 92 Divide each side by '2'. x = 46 Simplifying x = 46
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