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