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Simplifying 7(2x + 3) = 2x + 5 + 2(6x + -1) Reorder the terms: 7(3 + 2x) = 2x + 5 + 2(6x + -1) (3 * 7 + 2x * 7) = 2x + 5 + 2(6x + -1) (21 + 14x) = 2x + 5 + 2(6x + -1) Reorder the terms: 21 + 14x = 2x + 5 + 2(-1 + 6x) 21 + 14x = 2x + 5 + (-1 * 2 + 6x * 2) 21 + 14x = 2x + 5 + (-2 + 12x) Reorder the terms: 21 + 14x = 5 + -2 + 2x + 12x Combine like terms: 5 + -2 = 3 21 + 14x = 3 + 2x + 12x Combine like terms: 2x + 12x = 14x 21 + 14x = 3 + 14x Add '-14x' to each side of the equation. 21 + 14x + -14x = 3 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + 0 = 3 + 14x + -14x 21 = 3 + 14x + -14x Combine like terms: 14x + -14x = 0 21 = 3 + 0 21 = 3 Solving 21 = 3 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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