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Simplifying 3[6 + -4x] = -4[6x + -9] [6 * 3 + -4x * 3] = -4[6x + -9] [18 + -12x] = -4[6x + -9] Reorder the terms: 18 + -12x = -4[-9 + 6x] 18 + -12x = [-9 * -4 + 6x * -4] 18 + -12x = [36 + -24x] Solving 18 + -12x = 36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 18 + -12x + 24x = 36 + -24x + 24x Combine like terms: -12x + 24x = 12x 18 + 12x = 36 + -24x + 24x Combine like terms: -24x + 24x = 0 18 + 12x = 36 + 0 18 + 12x = 36 Add '-18' to each side of the equation. 18 + -18 + 12x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 36 + -18 12x = 36 + -18 Combine like terms: 36 + -18 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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