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Simplifying -3x + 7x + -12 = 4(x + -2) + -31 Reorder the terms: -12 + -3x + 7x = 4(x + -2) + -31 Combine like terms: -3x + 7x = 4x -12 + 4x = 4(x + -2) + -31 Reorder the terms: -12 + 4x = 4(-2 + x) + -31 -12 + 4x = (-2 * 4 + x * 4) + -31 -12 + 4x = (-8 + 4x) + -31 Reorder the terms: -12 + 4x = -8 + -31 + 4x Combine like terms: -8 + -31 = -39 -12 + 4x = -39 + 4x Add '-4x' to each side of the equation. -12 + 4x + -4x = -39 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 0 = -39 + 4x + -4x -12 = -39 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 = -39 + 0 -12 = -39 Solving -12 = -39 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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