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Simplifying 3(x + 7) = 5x + -2(x + -1) Reorder the terms: 3(7 + x) = 5x + -2(x + -1) (7 * 3 + x * 3) = 5x + -2(x + -1) (21 + 3x) = 5x + -2(x + -1) Reorder the terms: 21 + 3x = 5x + -2(-1 + x) 21 + 3x = 5x + (-1 * -2 + x * -2) 21 + 3x = 5x + (2 + -2x) Reorder the terms: 21 + 3x = 2 + 5x + -2x Combine like terms: 5x + -2x = 3x 21 + 3x = 2 + 3x Add '-3x' to each side of the equation. 21 + 3x + -3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 0 = 2 + 3x + -3x 21 = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 21 = 2 + 0 21 = 2 Solving 21 = 2 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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