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Simplifying 9(x + -7) = 8(8 + x) Reorder the terms: 9(-7 + x) = 8(8 + x) (-7 * 9 + x * 9) = 8(8 + x) (-63 + 9x) = 8(8 + x) -63 + 9x = (8 * 8 + x * 8) -63 + 9x = (64 + 8x) Solving -63 + 9x = 64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -63 + 9x + -8x = 64 + 8x + -8x Combine like terms: 9x + -8x = 1x -63 + 1x = 64 + 8x + -8x Combine like terms: 8x + -8x = 0 -63 + 1x = 64 + 0 -63 + 1x = 64 Add '63' to each side of the equation. -63 + 63 + 1x = 64 + 63 Combine like terms: -63 + 63 = 0 0 + 1x = 64 + 63 1x = 64 + 63 Combine like terms: 64 + 63 = 127 1x = 127 Divide each side by '1'. x = 127 Simplifying x = 127
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