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Simplifying 4(5x + 3) + -6x = 7(2x + 3) Reorder the terms: 4(3 + 5x) + -6x = 7(2x + 3) (3 * 4 + 5x * 4) + -6x = 7(2x + 3) (12 + 20x) + -6x = 7(2x + 3) Combine like terms: 20x + -6x = 14x 12 + 14x = 7(2x + 3) Reorder the terms: 12 + 14x = 7(3 + 2x) 12 + 14x = (3 * 7 + 2x * 7) 12 + 14x = (21 + 14x) Add '-14x' to each side of the equation. 12 + 14x + -14x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + 0 = 21 + 14x + -14x 12 = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 12 = 21 + 0 12 = 21 Solving 12 = 21 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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