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Simplifying 3(2x + -5) + 2x = 2(4x + 1) Reorder the terms: 3(-5 + 2x) + 2x = 2(4x + 1) (-5 * 3 + 2x * 3) + 2x = 2(4x + 1) (-15 + 6x) + 2x = 2(4x + 1) Combine like terms: 6x + 2x = 8x -15 + 8x = 2(4x + 1) Reorder the terms: -15 + 8x = 2(1 + 4x) -15 + 8x = (1 * 2 + 4x * 2) -15 + 8x = (2 + 8x) Add '-8x' to each side of the equation. -15 + 8x + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 0 = 2 + 8x + -8x -15 = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 = 2 + 0 -15 = 2 Solving -15 = 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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