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Simplifying -7(x + 9) = 1 + -6x Reorder the terms: -7(9 + x) = 1 + -6x (9 * -7 + x * -7) = 1 + -6x (-63 + -7x) = 1 + -6x Solving -63 + -7x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -63 + -7x + 6x = 1 + -6x + 6x Combine like terms: -7x + 6x = -1x -63 + -1x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -63 + -1x = 1 + 0 -63 + -1x = 1 Add '63' to each side of the equation. -63 + 63 + -1x = 1 + 63 Combine like terms: -63 + 63 = 0 0 + -1x = 1 + 63 -1x = 1 + 63 Combine like terms: 1 + 63 = 64 -1x = 64 Divide each side by '-1'. x = -64 Simplifying x = -64
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