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Simplifying 4x + 2 = 3(6 + -4x) Reorder the terms: 2 + 4x = 3(6 + -4x) 2 + 4x = (6 * 3 + -4x * 3) 2 + 4x = (18 + -12x) Solving 2 + 4x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + 4x + 12x = 18 + -12x + 12x Combine like terms: 4x + 12x = 16x 2 + 16x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 16x = 18 + 0 2 + 16x = 18 Add '-2' to each side of the equation. 2 + -2 + 16x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 18 + -2 16x = 18 + -2 Combine like terms: 18 + -2 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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