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Simplifying 4(2 + -3x) = -1[6x + -1(8 + -6x)] (2 * 4 + -3x * 4) = -1[6x + -1(8 + -6x)] (8 + -12x) = -1[6x + -1(8 + -6x)] 8 + -12x = -1[6x + (8 * -1 + -6x * -1)] 8 + -12x = -1[6x + (-8 + 6x)] Reorder the terms: 8 + -12x = -1[-8 + 6x + 6x] Combine like terms: 6x + 6x = 12x 8 + -12x = -1[-8 + 12x] 8 + -12x = [-8 * -1 + 12x * -1] 8 + -12x = [8 + -12x] Add '-8' to each side of the equation. 8 + -8 + -12x = 8 + -8 + -12x Combine like terms: 8 + -8 = 0 0 + -12x = 8 + -8 + -12x -12x = 8 + -8 + -12x Combine like terms: 8 + -8 = 0 -12x = 0 + -12x -12x = -12x Add '12x' to each side of the equation. -12x + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 0 = -12x + 12x Combine like terms: -12x + 12x = 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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