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Simplifying 14(2x + -3) = 2(14x + 8) + 14 Reorder the terms: 14(-3 + 2x) = 2(14x + 8) + 14 (-3 * 14 + 2x * 14) = 2(14x + 8) + 14 (-42 + 28x) = 2(14x + 8) + 14 Reorder the terms: -42 + 28x = 2(8 + 14x) + 14 -42 + 28x = (8 * 2 + 14x * 2) + 14 -42 + 28x = (16 + 28x) + 14 Reorder the terms: -42 + 28x = 16 + 14 + 28x Combine like terms: 16 + 14 = 30 -42 + 28x = 30 + 28x Add '-28x' to each side of the equation. -42 + 28x + -28x = 30 + 28x + -28x Combine like terms: 28x + -28x = 0 -42 + 0 = 30 + 28x + -28x -42 = 30 + 28x + -28x Combine like terms: 28x + -28x = 0 -42 = 30 + 0 -42 = 30 Solving -42 = 30 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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