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Simplifying -9(7x + 7) = -9(1 + 8x) Reorder the terms: -9(7 + 7x) = -9(1 + 8x) (7 * -9 + 7x * -9) = -9(1 + 8x) (-63 + -63x) = -9(1 + 8x) -63 + -63x = (1 * -9 + 8x * -9) -63 + -63x = (-9 + -72x) Solving -63 + -63x = -9 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -63 + -63x + 72x = -9 + -72x + 72x Combine like terms: -63x + 72x = 9x -63 + 9x = -9 + -72x + 72x Combine like terms: -72x + 72x = 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 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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