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Simplifying 8x + -2(2x + 3) = 5 + 4(x + 1) Reorder the terms: 8x + -2(3 + 2x) = 5 + 4(x + 1) 8x + (3 * -2 + 2x * -2) = 5 + 4(x + 1) 8x + (-6 + -4x) = 5 + 4(x + 1) Reorder the terms: -6 + 8x + -4x = 5 + 4(x + 1) Combine like terms: 8x + -4x = 4x -6 + 4x = 5 + 4(x + 1) Reorder the terms: -6 + 4x = 5 + 4(1 + x) -6 + 4x = 5 + (1 * 4 + x * 4) -6 + 4x = 5 + (4 + 4x) Combine like terms: 5 + 4 = 9 -6 + 4x = 9 + 4x Add '-4x' to each side of the equation. -6 + 4x + -4x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 0 = 9 + 4x + -4x -6 = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 = 9 + 0 -6 = 9 Solving -6 = 9 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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