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Simplifying 7x + -3(x + 9) = 5 + 4(x + 8) Reorder the terms: 7x + -3(9 + x) = 5 + 4(x + 8) 7x + (9 * -3 + x * -3) = 5 + 4(x + 8) 7x + (-27 + -3x) = 5 + 4(x + 8) Reorder the terms: -27 + 7x + -3x = 5 + 4(x + 8) Combine like terms: 7x + -3x = 4x -27 + 4x = 5 + 4(x + 8) Reorder the terms: -27 + 4x = 5 + 4(8 + x) -27 + 4x = 5 + (8 * 4 + x * 4) -27 + 4x = 5 + (32 + 4x) Combine like terms: 5 + 32 = 37 -27 + 4x = 37 + 4x Add '-4x' to each side of the equation. -27 + 4x + -4x = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 0 = 37 + 4x + -4x -27 = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 = 37 + 0 -27 = 37 Solving -27 = 37 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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