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Simplifying 5(2x + 3) = 3(x + 6) Reorder the terms: 5(3 + 2x) = 3(x + 6) (3 * 5 + 2x * 5) = 3(x + 6) (15 + 10x) = 3(x + 6) Reorder the terms: 15 + 10x = 3(6 + x) 15 + 10x = (6 * 3 + x * 3) 15 + 10x = (18 + 3x) Solving 15 + 10x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 10x + -3x = 18 + 3x + -3x Combine like terms: 10x + -3x = 7x 15 + 7x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 7x = 18 + 0 15 + 7x = 18 Add '-15' to each side of the equation. 15 + -15 + 7x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 18 + -15 7x = 18 + -15 Combine like terms: 18 + -15 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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