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Simplifying -3x + 7x + -17 = 4(x + -4) + -22 Reorder the terms: -17 + -3x + 7x = 4(x + -4) + -22 Combine like terms: -3x + 7x = 4x -17 + 4x = 4(x + -4) + -22 Reorder the terms: -17 + 4x = 4(-4 + x) + -22 -17 + 4x = (-4 * 4 + x * 4) + -22 -17 + 4x = (-16 + 4x) + -22 Reorder the terms: -17 + 4x = -16 + -22 + 4x Combine like terms: -16 + -22 = -38 -17 + 4x = -38 + 4x Add '-4x' to each side of the equation. -17 + 4x + -4x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 0 = -38 + 4x + -4x -17 = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 = -38 + 0 -17 = -38 Solving -17 = -38 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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