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Simplifying 4x + -5 = 2x + 3 + 2(x + 4) Reorder the terms: -5 + 4x = 2x + 3 + 2(x + 4) Reorder the terms: -5 + 4x = 2x + 3 + 2(4 + x) -5 + 4x = 2x + 3 + (4 * 2 + x * 2) -5 + 4x = 2x + 3 + (8 + 2x) Reorder the terms: -5 + 4x = 3 + 8 + 2x + 2x Combine like terms: 3 + 8 = 11 -5 + 4x = 11 + 2x + 2x Combine like terms: 2x + 2x = 4x -5 + 4x = 11 + 4x Add '-4x' to each side of the equation. -5 + 4x + -4x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 0 = 11 + 4x + -4x -5 = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 = 11 + 0 -5 = 11 Solving -5 = 11 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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