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Simplifying 4(x + -5) + -11(x + -1) = 5 + -7(x + -2) Reorder the terms: 4(-5 + x) + -11(x + -1) = 5 + -7(x + -2) (-5 * 4 + x * 4) + -11(x + -1) = 5 + -7(x + -2) (-20 + 4x) + -11(x + -1) = 5 + -7(x + -2) Reorder the terms: -20 + 4x + -11(-1 + x) = 5 + -7(x + -2) -20 + 4x + (-1 * -11 + x * -11) = 5 + -7(x + -2) -20 + 4x + (11 + -11x) = 5 + -7(x + -2) Reorder the terms: -20 + 11 + 4x + -11x = 5 + -7(x + -2) Combine like terms: -20 + 11 = -9 -9 + 4x + -11x = 5 + -7(x + -2) Combine like terms: 4x + -11x = -7x -9 + -7x = 5 + -7(x + -2) Reorder the terms: -9 + -7x = 5 + -7(-2 + x) -9 + -7x = 5 + (-2 * -7 + x * -7) -9 + -7x = 5 + (14 + -7x) Combine like terms: 5 + 14 = 19 -9 + -7x = 19 + -7x Add '7x' to each side of the equation. -9 + -7x + 7x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 0 = 19 + -7x + 7x -9 = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 = 19 + 0 -9 = 19 Solving -9 = 19 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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