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Simplifying 3x + 5(2x + -4) = 5x + 2(3x + 15) Reorder the terms: 3x + 5(-4 + 2x) = 5x + 2(3x + 15) 3x + (-4 * 5 + 2x * 5) = 5x + 2(3x + 15) 3x + (-20 + 10x) = 5x + 2(3x + 15) Reorder the terms: -20 + 3x + 10x = 5x + 2(3x + 15) Combine like terms: 3x + 10x = 13x -20 + 13x = 5x + 2(3x + 15) Reorder the terms: -20 + 13x = 5x + 2(15 + 3x) -20 + 13x = 5x + (15 * 2 + 3x * 2) -20 + 13x = 5x + (30 + 6x) Reorder the terms: -20 + 13x = 30 + 5x + 6x Combine like terms: 5x + 6x = 11x -20 + 13x = 30 + 11x Solving -20 + 13x = 30 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -20 + 13x + -11x = 30 + 11x + -11x Combine like terms: 13x + -11x = 2x -20 + 2x = 30 + 11x + -11x Combine like terms: 11x + -11x = 0 -20 + 2x = 30 + 0 -20 + 2x = 30 Add '20' to each side of the equation. -20 + 20 + 2x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 30 + 20 2x = 30 + 20 Combine like terms: 30 + 20 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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