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Simplifying 15x + -14 = 7x + 2(4x + 7) Reorder the terms: -14 + 15x = 7x + 2(4x + 7) Reorder the terms: -14 + 15x = 7x + 2(7 + 4x) -14 + 15x = 7x + (7 * 2 + 4x * 2) -14 + 15x = 7x + (14 + 8x) Reorder the terms: -14 + 15x = 14 + 7x + 8x Combine like terms: 7x + 8x = 15x -14 + 15x = 14 + 15x Add '-15x' to each side of the equation. -14 + 15x + -15x = 14 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + 0 = 14 + 15x + -15x -14 = 14 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 = 14 + 0 -14 = 14 Solving -14 = 14 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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