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Simplifying 4(x + -7) = 5(x + 4) + -1x + -12 Reorder the terms: 4(-7 + x) = 5(x + 4) + -1x + -12 (-7 * 4 + x * 4) = 5(x + 4) + -1x + -12 (-28 + 4x) = 5(x + 4) + -1x + -12 Reorder the terms: -28 + 4x = 5(4 + x) + -1x + -12 -28 + 4x = (4 * 5 + x * 5) + -1x + -12 -28 + 4x = (20 + 5x) + -1x + -12 Reorder the terms: -28 + 4x = 20 + -12 + 5x + -1x Combine like terms: 20 + -12 = 8 -28 + 4x = 8 + 5x + -1x Combine like terms: 5x + -1x = 4x -28 + 4x = 8 + 4x Add '-4x' to each side of the equation. -28 + 4x + -4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 0 = 8 + 4x + -4x -28 = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 = 8 + 0 -28 = 8 Solving -28 = 8 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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