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Simplifying 6x + -2 = 3(x + -4) + 3x + -7 Reorder the terms: -2 + 6x = 3(x + -4) + 3x + -7 Reorder the terms: -2 + 6x = 3(-4 + x) + 3x + -7 -2 + 6x = (-4 * 3 + x * 3) + 3x + -7 -2 + 6x = (-12 + 3x) + 3x + -7 Reorder the terms: -2 + 6x = -12 + -7 + 3x + 3x Combine like terms: -12 + -7 = -19 -2 + 6x = -19 + 3x + 3x Combine like terms: 3x + 3x = 6x -2 + 6x = -19 + 6x Add '-6x' to each side of the equation. -2 + 6x + -6x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 0 = -19 + 6x + -6x -2 = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 = -19 + 0 -2 = -19 Solving -2 = -19 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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