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Simplifying 3(3x + 4) + -2(2x + 1) = 30 Reorder the terms: 3(4 + 3x) + -2(2x + 1) = 30 (4 * 3 + 3x * 3) + -2(2x + 1) = 30 (12 + 9x) + -2(2x + 1) = 30 Reorder the terms: 12 + 9x + -2(1 + 2x) = 30 12 + 9x + (1 * -2 + 2x * -2) = 30 12 + 9x + (-2 + -4x) = 30 Reorder the terms: 12 + -2 + 9x + -4x = 30 Combine like terms: 12 + -2 = 10 10 + 9x + -4x = 30 Combine like terms: 9x + -4x = 5x 10 + 5x = 30 Solving 10 + 5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 30 + -10 5x = 30 + -10 Combine like terms: 30 + -10 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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