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Simplifying 3 + 7x + -1(5 + x) = 3(2x) + 1 3 + 7x + (5 * -1 + x * -1) = 3(2x) + 1 3 + 7x + (-5 + -1x) = 3(2x) + 1 Reorder the terms: 3 + -5 + 7x + -1x = 3(2x) + 1 Combine like terms: 3 + -5 = -2 -2 + 7x + -1x = 3(2x) + 1 Combine like terms: 7x + -1x = 6x -2 + 6x = 3(2x) + 1 Remove parenthesis around (2x) -2 + 6x = 3 * 2x + 1 Multiply 3 * 2 -2 + 6x = 6x + 1 Reorder the terms: -2 + 6x = 1 + 6x Add '-6x' to each side of the equation. -2 + 6x + -6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 0 = 1 + 6x + -6x -2 = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 = 1 + 0 -2 = 1 Solving -2 = 1 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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