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Simplifying 2(7x + 3) = 3(2x + 7) + 4(2x + -1) Reorder the terms: 2(3 + 7x) = 3(2x + 7) + 4(2x + -1) (3 * 2 + 7x * 2) = 3(2x + 7) + 4(2x + -1) (6 + 14x) = 3(2x + 7) + 4(2x + -1) Reorder the terms: 6 + 14x = 3(7 + 2x) + 4(2x + -1) 6 + 14x = (7 * 3 + 2x * 3) + 4(2x + -1) 6 + 14x = (21 + 6x) + 4(2x + -1) Reorder the terms: 6 + 14x = 21 + 6x + 4(-1 + 2x) 6 + 14x = 21 + 6x + (-1 * 4 + 2x * 4) 6 + 14x = 21 + 6x + (-4 + 8x) Reorder the terms: 6 + 14x = 21 + -4 + 6x + 8x Combine like terms: 21 + -4 = 17 6 + 14x = 17 + 6x + 8x Combine like terms: 6x + 8x = 14x 6 + 14x = 17 + 14x Add '-14x' to each side of the equation. 6 + 14x + -14x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + 0 = 17 + 14x + -14x 6 = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 6 = 17 + 0 6 = 17 Solving 6 = 17 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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