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Simplifying 5 + -4(x + 5) + -7 = 5 + 2(4 + -2x) + -16 Reorder the terms: 5 + -4(5 + x) + -7 = 5 + 2(4 + -2x) + -16 5 + (5 * -4 + x * -4) + -7 = 5 + 2(4 + -2x) + -16 5 + (-20 + -4x) + -7 = 5 + 2(4 + -2x) + -16 Reorder the terms: 5 + -20 + -7 + -4x = 5 + 2(4 + -2x) + -16 Combine like terms: 5 + -20 = -15 -15 + -7 + -4x = 5 + 2(4 + -2x) + -16 Combine like terms: -15 + -7 = -22 -22 + -4x = 5 + 2(4 + -2x) + -16 -22 + -4x = 5 + (4 * 2 + -2x * 2) + -16 -22 + -4x = 5 + (8 + -4x) + -16 Reorder the terms: -22 + -4x = 5 + 8 + -16 + -4x Combine like terms: 5 + 8 = 13 -22 + -4x = 13 + -16 + -4x Combine like terms: 13 + -16 = -3 -22 + -4x = -3 + -4x Add '4x' to each side of the equation. -22 + -4x + 4x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -22 + 0 = -3 + -4x + 4x -22 = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -22 = -3 + 0 -22 = -3 Solving -22 = -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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