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Simplifying 3[(4x + -6) + -2(-5 + -6)] + 6 = 0 Reorder the terms: 3[(-6 + 4x) + -2(-5 + -6)] + 6 = 0 Remove parenthesis around (-6 + 4x) 3[-6 + 4x + -2(-5 + -6)] + 6 = 0 Combine like terms: -5 + -6 = -11 3[-6 + 4x + -2(-11)] + 6 = 0 Multiply -2 * -11 3[-6 + 4x + 22] + 6 = 0 Reorder the terms: 3[-6 + 22 + 4x] + 6 = 0 Combine like terms: -6 + 22 = 16 3[16 + 4x] + 6 = 0 [16 * 3 + 4x * 3] + 6 = 0 [48 + 12x] + 6 = 0 Reorder the terms: 48 + 6 + 12x = 0 Combine like terms: 48 + 6 = 54 54 + 12x = 0 Solving 54 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 12x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 12x = 0 + -54 12x = 0 + -54 Combine like terms: 0 + -54 = -54 12x = -54 Divide each side by '12'. x = -4.5 Simplifying x = -4.5
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