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Simplifying 3[x + 1] + 4 = 2[x + -1] + x Reorder the terms: 3[1 + x] + 4 = 2[x + -1] + x [1 * 3 + x * 3] + 4 = 2[x + -1] + x [3 + 3x] + 4 = 2[x + -1] + x Reorder the terms: 3 + 4 + 3x = 2[x + -1] + x Combine like terms: 3 + 4 = 7 7 + 3x = 2[x + -1] + x Reorder the terms: 7 + 3x = 2[-1 + x] + x 7 + 3x = [-1 * 2 + x * 2] + x 7 + 3x = [-2 + 2x] + x Combine like terms: 2x + x = 3x 7 + 3x = -2 + 3x Add '-3x' to each side of the equation. 7 + 3x + -3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 0 = -2 + 3x + -3x 7 = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 7 = -2 + 0 7 = -2 Solving 7 = -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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