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Simplifying 3x + -7(x + 1) = 2 + 4(1 + -1x) Reorder the terms: 3x + -7(1 + x) = 2 + 4(1 + -1x) 3x + (1 * -7 + x * -7) = 2 + 4(1 + -1x) 3x + (-7 + -7x) = 2 + 4(1 + -1x) Reorder the terms: -7 + 3x + -7x = 2 + 4(1 + -1x) Combine like terms: 3x + -7x = -4x -7 + -4x = 2 + 4(1 + -1x) -7 + -4x = 2 + (1 * 4 + -1x * 4) -7 + -4x = 2 + (4 + -4x) Combine like terms: 2 + 4 = 6 -7 + -4x = 6 + -4x Add '4x' to each side of the equation. -7 + -4x + 4x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 0 = 6 + -4x + 4x -7 = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 = 6 + 0 -7 = 6 Solving -7 = 6 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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