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Simplifying 9(x + -7) = 1 + 10x Reorder the terms: 9(-7 + x) = 1 + 10x (-7 * 9 + x * 9) = 1 + 10x (-63 + 9x) = 1 + 10x Solving -63 + 9x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -63 + 9x + -10x = 1 + 10x + -10x Combine like terms: 9x + -10x = -1x -63 + -1x = 1 + 10x + -10x Combine like terms: 10x + -10x = 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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