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Simplifying 10(3x + 2) + -5(x + -6) = 2(7x + 5) Reorder the terms: 10(2 + 3x) + -5(x + -6) = 2(7x + 5) (2 * 10 + 3x * 10) + -5(x + -6) = 2(7x + 5) (20 + 30x) + -5(x + -6) = 2(7x + 5) Reorder the terms: 20 + 30x + -5(-6 + x) = 2(7x + 5) 20 + 30x + (-6 * -5 + x * -5) = 2(7x + 5) 20 + 30x + (30 + -5x) = 2(7x + 5) Reorder the terms: 20 + 30 + 30x + -5x = 2(7x + 5) Combine like terms: 20 + 30 = 50 50 + 30x + -5x = 2(7x + 5) Combine like terms: 30x + -5x = 25x 50 + 25x = 2(7x + 5) Reorder the terms: 50 + 25x = 2(5 + 7x) 50 + 25x = (5 * 2 + 7x * 2) 50 + 25x = (10 + 14x) Solving 50 + 25x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 50 + 25x + -14x = 10 + 14x + -14x Combine like terms: 25x + -14x = 11x 50 + 11x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 50 + 11x = 10 + 0 50 + 11x = 10 Add '-50' to each side of the equation. 50 + -50 + 11x = 10 + -50 Combine like terms: 50 + -50 = 0 0 + 11x = 10 + -50 11x = 10 + -50 Combine like terms: 10 + -50 = -40 11x = -40 Divide each side by '11'. x = -3.636363636 Simplifying x = -3.636363636
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