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