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Simplifying 9(x + -1) = 8(x + -7) Reorder the terms: 9(-1 + x) = 8(x + -7) (-1 * 9 + x * 9) = 8(x + -7) (-9 + 9x) = 8(x + -7) Reorder the terms: -9 + 9x = 8(-7 + x) -9 + 9x = (-7 * 8 + x * 8) -9 + 9x = (-56 + 8x) Solving -9 + 9x = -56 + 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. -9 + 9x + -8x = -56 + 8x + -8x Combine like terms: 9x + -8x = 1x -9 + 1x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 1x = -56 + 0 -9 + 1x = -56 Add '9' to each side of the equation. -9 + 9 + 1x = -56 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -56 + 9 1x = -56 + 9 Combine like terms: -56 + 9 = -47 1x = -47 Divide each side by '1'. x = -47 Simplifying x = -47
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