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