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Simplifying 6(2x + 5) = 2(4x + 15) Reorder the terms: 6(5 + 2x) = 2(4x + 15) (5 * 6 + 2x * 6) = 2(4x + 15) (30 + 12x) = 2(4x + 15) Reorder the terms: 30 + 12x = 2(15 + 4x) 30 + 12x = (15 * 2 + 4x * 2) 30 + 12x = (30 + 8x) Add '-30' to each side of the equation. 30 + -30 + 12x = 30 + -30 + 8x Combine like terms: 30 + -30 = 0 0 + 12x = 30 + -30 + 8x 12x = 30 + -30 + 8x Combine like terms: 30 + -30 = 0 12x = 0 + 8x 12x = 8x Solving 12x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12x + -8x = 8x + -8x Combine like terms: 12x + -8x = 4x 4x = 8x + -8x Combine like terms: 8x + -8x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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