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Simplifying 6(x + 4) = 5(2x + 8) + -4x Reorder the terms: 6(4 + x) = 5(2x + 8) + -4x (4 * 6 + x * 6) = 5(2x + 8) + -4x (24 + 6x) = 5(2x + 8) + -4x Reorder the terms: 24 + 6x = 5(8 + 2x) + -4x 24 + 6x = (8 * 5 + 2x * 5) + -4x 24 + 6x = (40 + 10x) + -4x Combine like terms: 10x + -4x = 6x 24 + 6x = 40 + 6x Add '-6x' to each side of the equation. 24 + 6x + -6x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 0 = 40 + 6x + -6x 24 = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 24 = 40 + 0 24 = 40 Solving 24 = 40 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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