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Simplifying 7x + -2[x + -8] = 5[x + 1] + 7 Reorder the terms: 7x + -2[-8 + x] = 5[x + 1] + 7 7x + [-8 * -2 + x * -2] = 5[x + 1] + 7 7x + [16 + -2x] = 5[x + 1] + 7 Reorder the terms: 16 + 7x + -2x = 5[x + 1] + 7 Combine like terms: 7x + -2x = 5x 16 + 5x = 5[x + 1] + 7 Reorder the terms: 16 + 5x = 5[1 + x] + 7 16 + 5x = [1 * 5 + x * 5] + 7 16 + 5x = [5 + 5x] + 7 Reorder the terms: 16 + 5x = 5 + 7 + 5x Combine like terms: 5 + 7 = 12 16 + 5x = 12 + 5x Add '-5x' to each side of the equation. 16 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 0 = 12 + 5x + -5x 16 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 16 = 12 + 0 16 = 12 Solving 16 = 12 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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