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Simplifying 4(2x + -5) + -1x = 7(x + 6) Reorder the terms: 4(-5 + 2x) + -1x = 7(x + 6) (-5 * 4 + 2x * 4) + -1x = 7(x + 6) (-20 + 8x) + -1x = 7(x + 6) Combine like terms: 8x + -1x = 7x -20 + 7x = 7(x + 6) Reorder the terms: -20 + 7x = 7(6 + x) -20 + 7x = (6 * 7 + x * 7) -20 + 7x = (42 + 7x) Add '-7x' to each side of the equation. -20 + 7x + -7x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 0 = 42 + 7x + -7x -20 = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 = 42 + 0 -20 = 42 Solving -20 = 42 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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