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Simplifying 4(3x + 5) + 2(6x + 1) = 94 Reorder the terms: 4(5 + 3x) + 2(6x + 1) = 94 (5 * 4 + 3x * 4) + 2(6x + 1) = 94 (20 + 12x) + 2(6x + 1) = 94 Reorder the terms: 20 + 12x + 2(1 + 6x) = 94 20 + 12x + (1 * 2 + 6x * 2) = 94 20 + 12x + (2 + 12x) = 94 Reorder the terms: 20 + 2 + 12x + 12x = 94 Combine like terms: 20 + 2 = 22 22 + 12x + 12x = 94 Combine like terms: 12x + 12x = 24x 22 + 24x = 94 Solving 22 + 24x = 94 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 24x = 94 + -22 Combine like terms: 22 + -22 = 0 0 + 24x = 94 + -22 24x = 94 + -22 Combine like terms: 94 + -22 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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