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Simplifying 6(4x + 5) = 2(11x + 15) Reorder the terms: 6(5 + 4x) = 2(11x + 15) (5 * 6 + 4x * 6) = 2(11x + 15) (30 + 24x) = 2(11x + 15) Reorder the terms: 30 + 24x = 2(15 + 11x) 30 + 24x = (15 * 2 + 11x * 2) 30 + 24x = (30 + 22x) Add '-30' to each side of the equation. 30 + -30 + 24x = 30 + -30 + 22x Combine like terms: 30 + -30 = 0 0 + 24x = 30 + -30 + 22x 24x = 30 + -30 + 22x Combine like terms: 30 + -30 = 0 24x = 0 + 22x 24x = 22x Solving 24x = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 24x + -22x = 22x + -22x Combine like terms: 24x + -22x = 2x 2x = 22x + -22x Combine like terms: 22x + -22x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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