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Simplifying -9(-7x + 7) = 9(6x + 1) Reorder the terms: -9(7 + -7x) = 9(6x + 1) (7 * -9 + -7x * -9) = 9(6x + 1) (-63 + 63x) = 9(6x + 1) Reorder the terms: -63 + 63x = 9(1 + 6x) -63 + 63x = (1 * 9 + 6x * 9) -63 + 63x = (9 + 54x) Solving -63 + 63x = 9 + 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. -63 + 63x + -54x = 9 + 54x + -54x Combine like terms: 63x + -54x = 9x -63 + 9x = 9 + 54x + -54x Combine like terms: 54x + -54x = 0 -63 + 9x = 9 + 0 -63 + 9x = 9 Add '63' to each side of the equation. -63 + 63 + 9x = 9 + 63 Combine like terms: -63 + 63 = 0 0 + 9x = 9 + 63 9x = 9 + 63 Combine like terms: 9 + 63 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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