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Simplifying 11x + -7(x + 3) = 5 + 4(x + 6) Reorder the terms: 11x + -7(3 + x) = 5 + 4(x + 6) 11x + (3 * -7 + x * -7) = 5 + 4(x + 6) 11x + (-21 + -7x) = 5 + 4(x + 6) Reorder the terms: -21 + 11x + -7x = 5 + 4(x + 6) Combine like terms: 11x + -7x = 4x -21 + 4x = 5 + 4(x + 6) Reorder the terms: -21 + 4x = 5 + 4(6 + x) -21 + 4x = 5 + (6 * 4 + x * 4) -21 + 4x = 5 + (24 + 4x) Combine like terms: 5 + 24 = 29 -21 + 4x = 29 + 4x Add '-4x' to each side of the equation. -21 + 4x + -4x = 29 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 0 = 29 + 4x + -4x -21 = 29 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 = 29 + 0 -21 = 29 Solving -21 = 29 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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