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Simplifying (X + -5)(40 + -1x) = 4(40 + -1x) Reorder the terms: (-5 + X)(40 + -1x) = 4(40 + -1x) Multiply (-5 + X) * (40 + -1x) (-5(40 + -1x) + X(40 + -1x)) = 4(40 + -1x) ((40 * -5 + -1x * -5) + X(40 + -1x)) = 4(40 + -1x) ((-200 + 5x) + X(40 + -1x)) = 4(40 + -1x) (-200 + 5x + (40 * X + -1x * X)) = 4(40 + -1x) (-200 + 5x + (40X + -1xX)) = 4(40 + -1x) Reorder the terms: (-200 + 40X + 5x + -1xX) = 4(40 + -1x) (-200 + 40X + 5x + -1xX) = 4(40 + -1x) -200 + 40X + 5x + -1xX = (40 * 4 + -1x * 4) -200 + 40X + 5x + -1xX = (160 + -4x) Solving -200 + 40X + 5x + -1xX = 160 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 40X + 5x + 200 + -1xX = 160 + 200 + -4x Reorder the terms: -200 + 200 + 40X + 5x + -1xX = 160 + 200 + -4x Combine like terms: -200 + 200 = 0 0 + 40X + 5x + -1xX = 160 + 200 + -4x 40X + 5x + -1xX = 160 + 200 + -4x Combine like terms: 160 + 200 = 360 40X + 5x + -1xX = 360 + -4x Add '-5x' to each side of the equation. 40X + 5x + -5x + -1xX = 360 + -4x + -5x Combine like terms: 5x + -5x = 0 40X + 0 + -1xX = 360 + -4x + -5x 40X + -1xX = 360 + -4x + -5x Combine like terms: -4x + -5x = -9x 40X + -1xX = 360 + -9x Reorder the terms: -360 + 40X + 9x + -1xX = 360 + -9x + -360 + 9x Reorder the terms: -360 + 40X + 9x + -1xX = 360 + -360 + -9x + 9x Combine like terms: 360 + -360 = 0 -360 + 40X + 9x + -1xX = 0 + -9x + 9x -360 + 40X + 9x + -1xX = -9x + 9x Combine like terms: -9x + 9x = 0 -360 + 40X + 9x + -1xX = 0 The solution to this equation could not be determined.
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