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Simplifying 2(3x + 5) = 4(x + -5) + 2x Reorder the terms: 2(5 + 3x) = 4(x + -5) + 2x (5 * 2 + 3x * 2) = 4(x + -5) + 2x (10 + 6x) = 4(x + -5) + 2x Reorder the terms: 10 + 6x = 4(-5 + x) + 2x 10 + 6x = (-5 * 4 + x * 4) + 2x 10 + 6x = (-20 + 4x) + 2x Combine like terms: 4x + 2x = 6x 10 + 6x = -20 + 6x Add '-6x' to each side of the equation. 10 + 6x + -6x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 0 = -20 + 6x + -6x 10 = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 10 = -20 + 0 10 = -20 Solving 10 = -20 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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