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Simplifying 5x + 3(2x + 4) = 2(5x + 6) Reorder the terms: 5x + 3(4 + 2x) = 2(5x + 6) 5x + (4 * 3 + 2x * 3) = 2(5x + 6) 5x + (12 + 6x) = 2(5x + 6) Reorder the terms: 12 + 5x + 6x = 2(5x + 6) Combine like terms: 5x + 6x = 11x 12 + 11x = 2(5x + 6) Reorder the terms: 12 + 11x = 2(6 + 5x) 12 + 11x = (6 * 2 + 5x * 2) 12 + 11x = (12 + 10x) Add '-12' to each side of the equation. 12 + -12 + 11x = 12 + -12 + 10x Combine like terms: 12 + -12 = 0 0 + 11x = 12 + -12 + 10x 11x = 12 + -12 + 10x Combine like terms: 12 + -12 = 0 11x = 0 + 10x 11x = 10x Solving 11x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 1x = 10x + -10x Combine like terms: 10x + -10x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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