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Simplifying 9(x + -5) = 8(x + -5) Reorder the terms: 9(-5 + x) = 8(x + -5) (-5 * 9 + x * 9) = 8(x + -5) (-45 + 9x) = 8(x + -5) Reorder the terms: -45 + 9x = 8(-5 + x) -45 + 9x = (-5 * 8 + x * 8) -45 + 9x = (-40 + 8x) Solving -45 + 9x = -40 + 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 = -40 + 8x + -8x Combine like terms: 9x + -8x = 1x -45 + 1x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 1x = -40 + 0 -45 + 1x = -40 Add '45' to each side of the equation. -45 + 45 + 1x = -40 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -40 + 45 1x = -40 + 45 Combine like terms: -40 + 45 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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