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Simplifying 3(2x + -5) = 14x + -4(2x + 7) Reorder the terms: 3(-5 + 2x) = 14x + -4(2x + 7) (-5 * 3 + 2x * 3) = 14x + -4(2x + 7) (-15 + 6x) = 14x + -4(2x + 7) Reorder the terms: -15 + 6x = 14x + -4(7 + 2x) -15 + 6x = 14x + (7 * -4 + 2x * -4) -15 + 6x = 14x + (-28 + -8x) Reorder the terms: -15 + 6x = -28 + 14x + -8x Combine like terms: 14x + -8x = 6x -15 + 6x = -28 + 6x Add '-6x' to each side of the equation. -15 + 6x + -6x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 0 = -28 + 6x + -6x -15 = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 = -28 + 0 -15 = -28 Solving -15 = -28 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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