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Simplifying 2[3(x + -2) + -1] + 1 = (2x + 1) * 3 + 7 Reorder the terms: 2[3(-2 + x) + -1] + 1 = (2x + 1) * 3 + 7 2[(-2 * 3 + x * 3) + -1] + 1 = (2x + 1) * 3 + 7 2[(-6 + 3x) + -1] + 1 = (2x + 1) * 3 + 7 Reorder the terms: 2[-6 + -1 + 3x] + 1 = (2x + 1) * 3 + 7 Combine like terms: -6 + -1 = -7 2[-7 + 3x] + 1 = (2x + 1) * 3 + 7 [-7 * 2 + 3x * 2] + 1 = (2x + 1) * 3 + 7 [-14 + 6x] + 1 = (2x + 1) * 3 + 7 Reorder the terms: -14 + 1 + 6x = (2x + 1) * 3 + 7 Combine like terms: -14 + 1 = -13 -13 + 6x = (2x + 1) * 3 + 7 Reorder the terms: -13 + 6x = (1 + 2x) * 3 + 7 Reorder the terms for easier multiplication: -13 + 6x = 3(1 + 2x) + 7 -13 + 6x = (1 * 3 + 2x * 3) + 7 -13 + 6x = (3 + 6x) + 7 Reorder the terms: -13 + 6x = 3 + 7 + 6x Combine like terms: 3 + 7 = 10 -13 + 6x = 10 + 6x Add '-6x' to each side of the equation. -13 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 0 = 10 + 6x + -6x -13 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 = 10 + 0 -13 = 10 Solving -13 = 10 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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