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Simplifying 12(2x + 7) + -7x = 10x + 7(x + 7) Reorder the terms: 12(7 + 2x) + -7x = 10x + 7(x + 7) (7 * 12 + 2x * 12) + -7x = 10x + 7(x + 7) (84 + 24x) + -7x = 10x + 7(x + 7) Combine like terms: 24x + -7x = 17x 84 + 17x = 10x + 7(x + 7) Reorder the terms: 84 + 17x = 10x + 7(7 + x) 84 + 17x = 10x + (7 * 7 + x * 7) 84 + 17x = 10x + (49 + 7x) Reorder the terms: 84 + 17x = 49 + 10x + 7x Combine like terms: 10x + 7x = 17x 84 + 17x = 49 + 17x Add '-17x' to each side of the equation. 84 + 17x + -17x = 49 + 17x + -17x Combine like terms: 17x + -17x = 0 84 + 0 = 49 + 17x + -17x 84 = 49 + 17x + -17x Combine like terms: 17x + -17x = 0 84 = 49 + 0 84 = 49 Solving 84 = 49 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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