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Simplifying (2x + -6) + -1(3x + -4) = -1(-4x + x) + -4x + 6 Reorder the terms: (-6 + 2x) + -1(3x + -4) = -1(-4x + x) + -4x + 6 Remove parenthesis around (-6 + 2x) -6 + 2x + -1(3x + -4) = -1(-4x + x) + -4x + 6 Reorder the terms: -6 + 2x + -1(-4 + 3x) = -1(-4x + x) + -4x + 6 -6 + 2x + (-4 * -1 + 3x * -1) = -1(-4x + x) + -4x + 6 -6 + 2x + (4 + -3x) = -1(-4x + x) + -4x + 6 Reorder the terms: -6 + 4 + 2x + -3x = -1(-4x + x) + -4x + 6 Combine like terms: -6 + 4 = -2 -2 + 2x + -3x = -1(-4x + x) + -4x + 6 Combine like terms: 2x + -3x = -1x -2 + -1x = -1(-4x + x) + -4x + 6 Combine like terms: -4x + x = -3x -2 + -1x = -1(-3x) + -4x + 6 Remove parenthesis around (-3x) -2 + -1x = -1 * -3x + -4x + 6 Multiply -1 * -3 -2 + -1x = 3x + -4x + 6 Reorder the terms: -2 + -1x = 6 + 3x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = 6 + -1x Add 'x' to each side of the equation. -2 + -1x + x = 6 + -1x + x Combine like terms: -1x + x = 0 -2 + 0 = 6 + -1x + x -2 = 6 + -1x + x Combine like terms: -1x + x = 0 -2 = 6 + 0 -2 = 6 Solving -2 = 6 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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