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Simplifying 2(3x + 5) = 5(6 + -1x) Reorder the terms: 2(5 + 3x) = 5(6 + -1x) (5 * 2 + 3x * 2) = 5(6 + -1x) (10 + 6x) = 5(6 + -1x) 10 + 6x = (6 * 5 + -1x * 5) 10 + 6x = (30 + -5x) Solving 10 + 6x = 30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + 6x + 5x = 30 + -5x + 5x Combine like terms: 6x + 5x = 11x 10 + 11x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 11x = 30 + 0 10 + 11x = 30 Add '-10' to each side of the equation. 10 + -10 + 11x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 30 + -10 11x = 30 + -10 Combine like terms: 30 + -10 = 20 11x = 20 Divide each side by '11'. x = 1.818181818 Simplifying x = 1.818181818
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