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Simplifying 5(2x + 3) = 6(5 + -6x) Reorder the terms: 5(3 + 2x) = 6(5 + -6x) (3 * 5 + 2x * 5) = 6(5 + -6x) (15 + 10x) = 6(5 + -6x) 15 + 10x = (5 * 6 + -6x * 6) 15 + 10x = (30 + -36x) Solving 15 + 10x = 30 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 15 + 10x + 36x = 30 + -36x + 36x Combine like terms: 10x + 36x = 46x 15 + 46x = 30 + -36x + 36x Combine like terms: -36x + 36x = 0 15 + 46x = 30 + 0 15 + 46x = 30 Add '-15' to each side of the equation. 15 + -15 + 46x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 46x = 30 + -15 46x = 30 + -15 Combine like terms: 30 + -15 = 15 46x = 15 Divide each side by '46'. x = 0.3260869565 Simplifying x = 0.3260869565
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