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Simplifying 6[5x + -1(3x + -1)] = 4(3x + -7) Reorder the terms: 6[5x + -1(-1 + 3x)] = 4(3x + -7) 6[5x + (-1 * -1 + 3x * -1)] = 4(3x + -7) 6[5x + (1 + -3x)] = 4(3x + -7) Reorder the terms: 6[1 + 5x + -3x] = 4(3x + -7) Combine like terms: 5x + -3x = 2x 6[1 + 2x] = 4(3x + -7) [1 * 6 + 2x * 6] = 4(3x + -7) [6 + 12x] = 4(3x + -7) Reorder the terms: 6 + 12x = 4(-7 + 3x) 6 + 12x = (-7 * 4 + 3x * 4) 6 + 12x = (-28 + 12x) Add '-12x' to each side of the equation. 6 + 12x + -12x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 0 = -28 + 12x + -12x 6 = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 6 = -28 + 0 6 = -28 Solving 6 = -28 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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