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Simplifying 9(x + -7) = 8(x + -7) Reorder the terms: 9(-7 + x) = 8(x + -7) (-7 * 9 + x * 9) = 8(x + -7) (-63 + 9x) = 8(x + -7) Reorder the terms: -63 + 9x = 8(-7 + x) -63 + 9x = (-7 * 8 + x * 8) -63 + 9x = (-56 + 8x) Solving -63 + 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. -63 + 9x + -8x = -56 + 8x + -8x Combine like terms: 9x + -8x = 1x -63 + 1x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -63 + 1x = -56 + 0 -63 + 1x = -56 Add '63' to each side of the equation. -63 + 63 + 1x = -56 + 63 Combine like terms: -63 + 63 = 0 0 + 1x = -56 + 63 1x = -56 + 63 Combine like terms: -56 + 63 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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