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Simplifying 2x + -1 + 6(2x + 1) = 16x + -1(2x + -7) Reorder the terms: 2x + -1 + 6(1 + 2x) = 16x + -1(2x + -7) 2x + -1 + (1 * 6 + 2x * 6) = 16x + -1(2x + -7) 2x + -1 + (6 + 12x) = 16x + -1(2x + -7) Reorder the terms: -1 + 6 + 2x + 12x = 16x + -1(2x + -7) Combine like terms: -1 + 6 = 5 5 + 2x + 12x = 16x + -1(2x + -7) Combine like terms: 2x + 12x = 14x 5 + 14x = 16x + -1(2x + -7) Reorder the terms: 5 + 14x = 16x + -1(-7 + 2x) 5 + 14x = 16x + (-7 * -1 + 2x * -1) 5 + 14x = 16x + (7 + -2x) Reorder the terms: 5 + 14x = 7 + 16x + -2x Combine like terms: 16x + -2x = 14x 5 + 14x = 7 + 14x Add '-14x' to each side of the equation. 5 + 14x + -14x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + 0 = 7 + 14x + -14x 5 = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 5 = 7 + 0 5 = 7 Solving 5 = 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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