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