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Simplifying 24x + 54 = 4x + 27 + 5(4x + 2) Reorder the terms: 54 + 24x = 4x + 27 + 5(4x + 2) Reorder the terms: 54 + 24x = 4x + 27 + 5(2 + 4x) 54 + 24x = 4x + 27 + (2 * 5 + 4x * 5) 54 + 24x = 4x + 27 + (10 + 20x) Reorder the terms: 54 + 24x = 27 + 10 + 4x + 20x Combine like terms: 27 + 10 = 37 54 + 24x = 37 + 4x + 20x Combine like terms: 4x + 20x = 24x 54 + 24x = 37 + 24x Add '-24x' to each side of the equation. 54 + 24x + -24x = 37 + 24x + -24x Combine like terms: 24x + -24x = 0 54 + 0 = 37 + 24x + -24x 54 = 37 + 24x + -24x Combine like terms: 24x + -24x = 0 54 = 37 + 0 54 = 37 Solving 54 = 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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