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Simplifying 4(x + 2) = -7(7 + -5x) + -31x Reorder the terms: 4(2 + x) = -7(7 + -5x) + -31x (2 * 4 + x * 4) = -7(7 + -5x) + -31x (8 + 4x) = -7(7 + -5x) + -31x 8 + 4x = (7 * -7 + -5x * -7) + -31x 8 + 4x = (-49 + 35x) + -31x Combine like terms: 35x + -31x = 4x 8 + 4x = -49 + 4x Add '-4x' to each side of the equation. 8 + 4x + -4x = -49 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 0 = -49 + 4x + -4x 8 = -49 + 4x + -4x Combine like terms: 4x + -4x = 0 8 = -49 + 0 8 = -49 Solving 8 = -49 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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