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Simplifying 9(x + -5) = 8(x + -6) Reorder the terms: 9(-5 + x) = 8(x + -6) (-5 * 9 + x * 9) = 8(x + -6) (-45 + 9x) = 8(x + -6) Reorder the terms: -45 + 9x = 8(-6 + x) -45 + 9x = (-6 * 8 + x * 8) -45 + 9x = (-48 + 8x) Solving -45 + 9x = -48 + 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. -45 + 9x + -8x = -48 + 8x + -8x Combine like terms: 9x + -8x = 1x -45 + 1x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 1x = -48 + 0 -45 + 1x = -48 Add '45' to each side of the equation. -45 + 45 + 1x = -48 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -48 + 45 1x = -48 + 45 Combine like terms: -48 + 45 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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