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Simplifying 2[9x + 3(y + 5)] = 24 Reorder the terms: 2[9x + 3(5 + y)] = 24 2[9x + (5 * 3 + y * 3)] = 24 2[9x + (15 + 3y)] = 24 Reorder the terms: 2[15 + 9x + 3y] = 24 [15 * 2 + 9x * 2 + 3y * 2] = 24 [30 + 18x + 6y] = 24 Solving 30 + 18x + 6y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 18x + -30 + 6y = 24 + -30 Reorder the terms: 30 + -30 + 18x + 6y = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 18x + 6y = 24 + -30 18x + 6y = 24 + -30 Combine like terms: 24 + -30 = -6 18x + 6y = -6 Add '-6y' to each side of the equation. 18x + 6y + -6y = -6 + -6y Combine like terms: 6y + -6y = 0 18x + 0 = -6 + -6y 18x = -6 + -6y Divide each side by '18'. x = -0.3333333333 + -0.3333333333y Simplifying x = -0.3333333333 + -0.3333333333y
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