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Simplifying 3(x + -7) + 5x = 2(4x + 5) + 9 Reorder the terms: 3(-7 + x) + 5x = 2(4x + 5) + 9 (-7 * 3 + x * 3) + 5x = 2(4x + 5) + 9 (-21 + 3x) + 5x = 2(4x + 5) + 9 Combine like terms: 3x + 5x = 8x -21 + 8x = 2(4x + 5) + 9 Reorder the terms: -21 + 8x = 2(5 + 4x) + 9 -21 + 8x = (5 * 2 + 4x * 2) + 9 -21 + 8x = (10 + 8x) + 9 Reorder the terms: -21 + 8x = 10 + 9 + 8x Combine like terms: 10 + 9 = 19 -21 + 8x = 19 + 8x Add '-8x' to each side of the equation. -21 + 8x + -8x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 0 = 19 + 8x + -8x -21 = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 = 19 + 0 -21 = 19 Solving -21 = 19 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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