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Simplifying 4(2 + -3x) = -1[6x + -8(8 + -6x)] (2 * 4 + -3x * 4) = -1[6x + -8(8 + -6x)] (8 + -12x) = -1[6x + -8(8 + -6x)] 8 + -12x = -1[6x + (8 * -8 + -6x * -8)] 8 + -12x = -1[6x + (-64 + 48x)] Reorder the terms: 8 + -12x = -1[-64 + 6x + 48x] Combine like terms: 6x + 48x = 54x 8 + -12x = -1[-64 + 54x] 8 + -12x = [-64 * -1 + 54x * -1] 8 + -12x = [64 + -54x] Solving 8 + -12x = 64 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 8 + -12x + 54x = 64 + -54x + 54x Combine like terms: -12x + 54x = 42x 8 + 42x = 64 + -54x + 54x Combine like terms: -54x + 54x = 0 8 + 42x = 64 + 0 8 + 42x = 64 Add '-8' to each side of the equation. 8 + -8 + 42x = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 42x = 64 + -8 42x = 64 + -8 Combine like terms: 64 + -8 = 56 42x = 56 Divide each side by '42'. x = 1.333333333 Simplifying x = 1.333333333
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