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Simplifying 1 + -5[7 + 2(3x + -1)] = -6(4 + 5x) Reorder the terms: 1 + -5[7 + 2(-1 + 3x)] = -6(4 + 5x) 1 + -5[7 + (-1 * 2 + 3x * 2)] = -6(4 + 5x) 1 + -5[7 + (-2 + 6x)] = -6(4 + 5x) Combine like terms: 7 + -2 = 5 1 + -5[5 + 6x] = -6(4 + 5x) 1 + [5 * -5 + 6x * -5] = -6(4 + 5x) 1 + [-25 + -30x] = -6(4 + 5x) Combine like terms: 1 + -25 = -24 -24 + -30x = -6(4 + 5x) -24 + -30x = (4 * -6 + 5x * -6) -24 + -30x = (-24 + -30x) Add '24' to each side of the equation. -24 + 24 + -30x = -24 + 24 + -30x Combine like terms: -24 + 24 = 0 0 + -30x = -24 + 24 + -30x -30x = -24 + 24 + -30x Combine like terms: -24 + 24 = 0 -30x = 0 + -30x -30x = -30x Add '30x' to each side of the equation. -30x + 30x = -30x + 30x Combine like terms: -30x + 30x = 0 0 = -30x + 30x Combine like terms: -30x + 30x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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