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