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Simplifying -8(4x + 5) + 2 = 7(7 + -4x) + -4x Reorder the terms: -8(5 + 4x) + 2 = 7(7 + -4x) + -4x (5 * -8 + 4x * -8) + 2 = 7(7 + -4x) + -4x (-40 + -32x) + 2 = 7(7 + -4x) + -4x Reorder the terms: -40 + 2 + -32x = 7(7 + -4x) + -4x Combine like terms: -40 + 2 = -38 -38 + -32x = 7(7 + -4x) + -4x -38 + -32x = (7 * 7 + -4x * 7) + -4x -38 + -32x = (49 + -28x) + -4x Combine like terms: -28x + -4x = -32x -38 + -32x = 49 + -32x Add '32x' to each side of the equation. -38 + -32x + 32x = 49 + -32x + 32x Combine like terms: -32x + 32x = 0 -38 + 0 = 49 + -32x + 32x -38 = 49 + -32x + 32x Combine like terms: -32x + 32x = 0 -38 = 49 + 0 -38 = 49 Solving -38 = 49 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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