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Simplifying 6x + 3(4 + 6x) = 2x + 2(5x + 6) 6x + (4 * 3 + 6x * 3) = 2x + 2(5x + 6) 6x + (12 + 18x) = 2x + 2(5x + 6) Reorder the terms: 12 + 6x + 18x = 2x + 2(5x + 6) Combine like terms: 6x + 18x = 24x 12 + 24x = 2x + 2(5x + 6) Reorder the terms: 12 + 24x = 2x + 2(6 + 5x) 12 + 24x = 2x + (6 * 2 + 5x * 2) 12 + 24x = 2x + (12 + 10x) Reorder the terms: 12 + 24x = 12 + 2x + 10x Combine like terms: 2x + 10x = 12x 12 + 24x = 12 + 12x Add '-12' to each side of the equation. 12 + -12 + 24x = 12 + -12 + 12x Combine like terms: 12 + -12 = 0 0 + 24x = 12 + -12 + 12x 24x = 12 + -12 + 12x Combine like terms: 12 + -12 = 0 24x = 0 + 12x 24x = 12x Solving 24x = 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. 24x + -12x = 12x + -12x Combine like terms: 24x + -12x = 12x 12x = 12x + -12x Combine like terms: 12x + -12x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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