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Simplifying 2(1 + -3x) + 16 = 3(4 + 2x) (1 * 2 + -3x * 2) + 16 = 3(4 + 2x) (2 + -6x) + 16 = 3(4 + 2x) Reorder the terms: 2 + 16 + -6x = 3(4 + 2x) Combine like terms: 2 + 16 = 18 18 + -6x = 3(4 + 2x) 18 + -6x = (4 * 3 + 2x * 3) 18 + -6x = (12 + 6x) Solving 18 + -6x = 12 + 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. 18 + -6x + -6x = 12 + 6x + -6x Combine like terms: -6x + -6x = -12x 18 + -12x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -12x = 12 + 0 18 + -12x = 12 Add '-18' to each side of the equation. 18 + -18 + -12x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -12x = 12 + -18 -12x = 12 + -18 Combine like terms: 12 + -18 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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