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Simplifying 3(x + -7) + 4x = 7(x + -5) + 4 Reorder the terms: 3(-7 + x) + 4x = 7(x + -5) + 4 (-7 * 3 + x * 3) + 4x = 7(x + -5) + 4 (-21 + 3x) + 4x = 7(x + -5) + 4 Combine like terms: 3x + 4x = 7x -21 + 7x = 7(x + -5) + 4 Reorder the terms: -21 + 7x = 7(-5 + x) + 4 -21 + 7x = (-5 * 7 + x * 7) + 4 -21 + 7x = (-35 + 7x) + 4 Reorder the terms: -21 + 7x = -35 + 4 + 7x Combine like terms: -35 + 4 = -31 -21 + 7x = -31 + 7x Add '-7x' to each side of the equation. -21 + 7x + -7x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 0 = -31 + 7x + -7x -21 = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 = -31 + 0 -21 = -31 Solving -21 = -31 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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