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Simplifying 4(2x + -3) + -4x = 4(x + -5) Reorder the terms: 4(-3 + 2x) + -4x = 4(x + -5) (-3 * 4 + 2x * 4) + -4x = 4(x + -5) (-12 + 8x) + -4x = 4(x + -5) Combine like terms: 8x + -4x = 4x -12 + 4x = 4(x + -5) Reorder the terms: -12 + 4x = 4(-5 + x) -12 + 4x = (-5 * 4 + x * 4) -12 + 4x = (-20 + 4x) Add '-4x' to each side of the equation. -12 + 4x + -4x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 0 = -20 + 4x + -4x -12 = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 = -20 + 0 -12 = -20 Solving -12 = -20 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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