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Simplifying 8x + -4(x + 4) = 4(2x + -4) + -4(x + -5) Reorder the terms: 8x + -4(4 + x) = 4(2x + -4) + -4(x + -5) 8x + (4 * -4 + x * -4) = 4(2x + -4) + -4(x + -5) 8x + (-16 + -4x) = 4(2x + -4) + -4(x + -5) Reorder the terms: -16 + 8x + -4x = 4(2x + -4) + -4(x + -5) Combine like terms: 8x + -4x = 4x -16 + 4x = 4(2x + -4) + -4(x + -5) Reorder the terms: -16 + 4x = 4(-4 + 2x) + -4(x + -5) -16 + 4x = (-4 * 4 + 2x * 4) + -4(x + -5) -16 + 4x = (-16 + 8x) + -4(x + -5) Reorder the terms: -16 + 4x = -16 + 8x + -4(-5 + x) -16 + 4x = -16 + 8x + (-5 * -4 + x * -4) -16 + 4x = -16 + 8x + (20 + -4x) Reorder the terms: -16 + 4x = -16 + 20 + 8x + -4x Combine like terms: -16 + 20 = 4 -16 + 4x = 4 + 8x + -4x Combine like terms: 8x + -4x = 4x -16 + 4x = 4 + 4x Add '-4x' to each side of the equation. -16 + 4x + -4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 0 = 4 + 4x + -4x -16 = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 = 4 + 0 -16 = 4 Solving -16 = 4 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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