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Simplifying 7(x + 2) = 5(9 + 2x) + -3x Reorder the terms: 7(2 + x) = 5(9 + 2x) + -3x (2 * 7 + x * 7) = 5(9 + 2x) + -3x (14 + 7x) = 5(9 + 2x) + -3x 14 + 7x = (9 * 5 + 2x * 5) + -3x 14 + 7x = (45 + 10x) + -3x Combine like terms: 10x + -3x = 7x 14 + 7x = 45 + 7x Add '-7x' to each side of the equation. 14 + 7x + -7x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 0 = 45 + 7x + -7x 14 = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 14 = 45 + 0 14 = 45 Solving 14 = 45 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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