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Simplifying 2(x + 6) + 5(2x + -3) = 21 Reorder the terms: 2(6 + x) + 5(2x + -3) = 21 (6 * 2 + x * 2) + 5(2x + -3) = 21 (12 + 2x) + 5(2x + -3) = 21 Reorder the terms: 12 + 2x + 5(-3 + 2x) = 21 12 + 2x + (-3 * 5 + 2x * 5) = 21 12 + 2x + (-15 + 10x) = 21 Reorder the terms: 12 + -15 + 2x + 10x = 21 Combine like terms: 12 + -15 = -3 -3 + 2x + 10x = 21 Combine like terms: 2x + 10x = 12x -3 + 12x = 21 Solving -3 + 12x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 21 + 3 12x = 21 + 3 Combine like terms: 21 + 3 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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