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Simplifying -3(3x + 1) = -1[4x + (6x + -5)] + x + 7 Reorder the terms: -3(1 + 3x) = -1[4x + (6x + -5)] + x + 7 (1 * -3 + 3x * -3) = -1[4x + (6x + -5)] + x + 7 (-3 + -9x) = -1[4x + (6x + -5)] + x + 7 Reorder the terms: -3 + -9x = -1[4x + (-5 + 6x)] + x + 7 Remove parenthesis around (-5 + 6x) -3 + -9x = -1[4x + -5 + 6x] + x + 7 Reorder the terms: -3 + -9x = -1[-5 + 4x + 6x] + x + 7 Combine like terms: 4x + 6x = 10x -3 + -9x = -1[-5 + 10x] + x + 7 -3 + -9x = [-5 * -1 + 10x * -1] + x + 7 -3 + -9x = [5 + -10x] + x + 7 Reorder the terms: -3 + -9x = 5 + 7 + -10x + x Combine like terms: 5 + 7 = 12 -3 + -9x = 12 + -10x + x Combine like terms: -10x + x = -9x -3 + -9x = 12 + -9x Add '9x' to each side of the equation. -3 + -9x + 9x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -3 + 0 = 12 + -9x + 9x -3 = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -3 = 12 + 0 -3 = 12 Solving -3 = 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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