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Simplifying 11 + -4(x + 5) + -7 = 11 + 2(4 + -2x) + -16 Reorder the terms: 11 + -4(5 + x) + -7 = 11 + 2(4 + -2x) + -16 11 + (5 * -4 + x * -4) + -7 = 11 + 2(4 + -2x) + -16 11 + (-20 + -4x) + -7 = 11 + 2(4 + -2x) + -16 Reorder the terms: 11 + -20 + -7 + -4x = 11 + 2(4 + -2x) + -16 Combine like terms: 11 + -20 = -9 -9 + -7 + -4x = 11 + 2(4 + -2x) + -16 Combine like terms: -9 + -7 = -16 -16 + -4x = 11 + 2(4 + -2x) + -16 -16 + -4x = 11 + (4 * 2 + -2x * 2) + -16 -16 + -4x = 11 + (8 + -4x) + -16 Reorder the terms: -16 + -4x = 11 + 8 + -16 + -4x Combine like terms: 11 + 8 = 19 -16 + -4x = 19 + -16 + -4x Combine like terms: 19 + -16 = 3 -16 + -4x = 3 + -4x Add '4x' to each side of the equation. -16 + -4x + 4x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 0 = 3 + -4x + 4x -16 = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 = 3 + 0 -16 = 3 Solving -16 = 3 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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