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Simplifying 7x + 23 = 3(x + 9) + 2(2x + 3) Reorder the terms: 23 + 7x = 3(x + 9) + 2(2x + 3) Reorder the terms: 23 + 7x = 3(9 + x) + 2(2x + 3) 23 + 7x = (9 * 3 + x * 3) + 2(2x + 3) 23 + 7x = (27 + 3x) + 2(2x + 3) Reorder the terms: 23 + 7x = 27 + 3x + 2(3 + 2x) 23 + 7x = 27 + 3x + (3 * 2 + 2x * 2) 23 + 7x = 27 + 3x + (6 + 4x) Reorder the terms: 23 + 7x = 27 + 6 + 3x + 4x Combine like terms: 27 + 6 = 33 23 + 7x = 33 + 3x + 4x Combine like terms: 3x + 4x = 7x 23 + 7x = 33 + 7x Add '-7x' to each side of the equation. 23 + 7x + -7x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + 0 = 33 + 7x + -7x 23 = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 23 = 33 + 0 23 = 33 Solving 23 = 33 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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