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Simplifying 2(3x + 2) + 3(2 + 2x) = 70 Reorder the terms: 2(2 + 3x) + 3(2 + 2x) = 70 (2 * 2 + 3x * 2) + 3(2 + 2x) = 70 (4 + 6x) + 3(2 + 2x) = 70 4 + 6x + (2 * 3 + 2x * 3) = 70 4 + 6x + (6 + 6x) = 70 Reorder the terms: 4 + 6 + 6x + 6x = 70 Combine like terms: 4 + 6 = 10 10 + 6x + 6x = 70 Combine like terms: 6x + 6x = 12x 10 + 12x = 70 Solving 10 + 12x = 70 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 + 12x = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 70 + -10 12x = 70 + -10 Combine like terms: 70 + -10 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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