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Simplifying 3(x + -5) + -105 = 8x + -5(x + 8) Reorder the terms: 3(-5 + x) + -105 = 8x + -5(x + 8) (-5 * 3 + x * 3) + -105 = 8x + -5(x + 8) (-15 + 3x) + -105 = 8x + -5(x + 8) Reorder the terms: -15 + -105 + 3x = 8x + -5(x + 8) Combine like terms: -15 + -105 = -120 -120 + 3x = 8x + -5(x + 8) Reorder the terms: -120 + 3x = 8x + -5(8 + x) -120 + 3x = 8x + (8 * -5 + x * -5) -120 + 3x = 8x + (-40 + -5x) Reorder the terms: -120 + 3x = -40 + 8x + -5x Combine like terms: 8x + -5x = 3x -120 + 3x = -40 + 3x Add '-3x' to each side of the equation. -120 + 3x + -3x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 -120 + 0 = -40 + 3x + -3x -120 = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 -120 = -40 + 0 -120 = -40 Solving -120 = -40 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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