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Simplifying 5x + -2(3x + 6) = 4 + -1(2 + x) + 7 Reorder the terms: 5x + -2(6 + 3x) = 4 + -1(2 + x) + 7 5x + (6 * -2 + 3x * -2) = 4 + -1(2 + x) + 7 5x + (-12 + -6x) = 4 + -1(2 + x) + 7 Reorder the terms: -12 + 5x + -6x = 4 + -1(2 + x) + 7 Combine like terms: 5x + -6x = -1x -12 + -1x = 4 + -1(2 + x) + 7 -12 + -1x = 4 + (2 * -1 + x * -1) + 7 -12 + -1x = 4 + (-2 + -1x) + 7 Reorder the terms: -12 + -1x = 4 + -2 + 7 + -1x Combine like terms: 4 + -2 = 2 -12 + -1x = 2 + 7 + -1x Combine like terms: 2 + 7 = 9 -12 + -1x = 9 + -1x Add 'x' to each side of the equation. -12 + -1x + x = 9 + -1x + x Combine like terms: -1x + x = 0 -12 + 0 = 9 + -1x + x -12 = 9 + -1x + x Combine like terms: -1x + x = 0 -12 = 9 + 0 -12 = 9 Solving -12 = 9 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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