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Simplifying 9(x + -4) = 8(x + -5) Reorder the terms: 9(-4 + x) = 8(x + -5) (-4 * 9 + x * 9) = 8(x + -5) (-36 + 9x) = 8(x + -5) Reorder the terms: -36 + 9x = 8(-5 + x) -36 + 9x = (-5 * 8 + x * 8) -36 + 9x = (-40 + 8x) Solving -36 + 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. -36 + 9x + -8x = -40 + 8x + -8x Combine like terms: 9x + -8x = 1x -36 + 1x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + 1x = -40 + 0 -36 + 1x = -40 Add '36' to each side of the equation. -36 + 36 + 1x = -40 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -40 + 36 1x = -40 + 36 Combine like terms: -40 + 36 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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