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Simplifying 4(x + -5) + 4x = 4(2x + 4) + -13 Reorder the terms: 4(-5 + x) + 4x = 4(2x + 4) + -13 (-5 * 4 + x * 4) + 4x = 4(2x + 4) + -13 (-20 + 4x) + 4x = 4(2x + 4) + -13 Combine like terms: 4x + 4x = 8x -20 + 8x = 4(2x + 4) + -13 Reorder the terms: -20 + 8x = 4(4 + 2x) + -13 -20 + 8x = (4 * 4 + 2x * 4) + -13 -20 + 8x = (16 + 8x) + -13 Reorder the terms: -20 + 8x = 16 + -13 + 8x Combine like terms: 16 + -13 = 3 -20 + 8x = 3 + 8x Add '-8x' to each side of the equation. -20 + 8x + -8x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 0 = 3 + 8x + -8x -20 = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 = 3 + 0 -20 = 3 Solving -20 = 3 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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