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