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Simplifying 2(3x + -6) + 5 = 12 + -1(x + 5) + 7x Reorder the terms: 2(-6 + 3x) + 5 = 12 + -1(x + 5) + 7x (-6 * 2 + 3x * 2) + 5 = 12 + -1(x + 5) + 7x (-12 + 6x) + 5 = 12 + -1(x + 5) + 7x Reorder the terms: -12 + 5 + 6x = 12 + -1(x + 5) + 7x Combine like terms: -12 + 5 = -7 -7 + 6x = 12 + -1(x + 5) + 7x Reorder the terms: -7 + 6x = 12 + -1(5 + x) + 7x -7 + 6x = 12 + (5 * -1 + x * -1) + 7x -7 + 6x = 12 + (-5 + -1x) + 7x Combine like terms: 12 + -5 = 7 -7 + 6x = 7 + -1x + 7x Combine like terms: -1x + 7x = 6x -7 + 6x = 7 + 6x Add '-6x' to each side of the equation. -7 + 6x + -6x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 0 = 7 + 6x + -6x -7 = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 = 7 + 0 -7 = 7 Solving -7 = 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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