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Simplifying 3(3x + 3) + 2(1 + -2x) = 21 Reorder the terms: 3(3 + 3x) + 2(1 + -2x) = 21 (3 * 3 + 3x * 3) + 2(1 + -2x) = 21 (9 + 9x) + 2(1 + -2x) = 21 9 + 9x + (1 * 2 + -2x * 2) = 21 9 + 9x + (2 + -4x) = 21 Reorder the terms: 9 + 2 + 9x + -4x = 21 Combine like terms: 9 + 2 = 11 11 + 9x + -4x = 21 Combine like terms: 9x + -4x = 5x 11 + 5x = 21 Solving 11 + 5x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 21 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 21 + -11 5x = 21 + -11 Combine like terms: 21 + -11 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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