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Simplifying 2(4 + -3x) = 4 + 6(x + 2) (4 * 2 + -3x * 2) = 4 + 6(x + 2) (8 + -6x) = 4 + 6(x + 2) Reorder the terms: 8 + -6x = 4 + 6(2 + x) 8 + -6x = 4 + (2 * 6 + x * 6) 8 + -6x = 4 + (12 + 6x) Combine like terms: 4 + 12 = 16 8 + -6x = 16 + 6x Solving 8 + -6x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -6x + -6x = 16 + 6x + -6x Combine like terms: -6x + -6x = -12x 8 + -12x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -12x = 16 + 0 8 + -12x = 16 Add '-8' to each side of the equation. 8 + -8 + -12x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 16 + -8 -12x = 16 + -8 Combine like terms: 16 + -8 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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