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Simplifying 11x + -6(2 + 3x) = 5(x + -2) + -12x 11x + (2 * -6 + 3x * -6) = 5(x + -2) + -12x 11x + (-12 + -18x) = 5(x + -2) + -12x Reorder the terms: -12 + 11x + -18x = 5(x + -2) + -12x Combine like terms: 11x + -18x = -7x -12 + -7x = 5(x + -2) + -12x Reorder the terms: -12 + -7x = 5(-2 + x) + -12x -12 + -7x = (-2 * 5 + x * 5) + -12x -12 + -7x = (-10 + 5x) + -12x Combine like terms: 5x + -12x = -7x -12 + -7x = -10 + -7x Add '7x' to each side of the equation. -12 + -7x + 7x = -10 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 0 = -10 + -7x + 7x -12 = -10 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 = -10 + 0 -12 = -10 Solving -12 = -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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