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Simplifying 3(4x + 1) = 23 + 2x Reorder the terms: 3(1 + 4x) = 23 + 2x (1 * 3 + 4x * 3) = 23 + 2x (3 + 12x) = 23 + 2x Solving 3 + 12x = 23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 12x + -2x = 23 + 2x + -2x Combine like terms: 12x + -2x = 10x 3 + 10x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 10x = 23 + 0 3 + 10x = 23 Add '-3' to each side of the equation. 3 + -3 + 10x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 23 + -3 10x = 23 + -3 Combine like terms: 23 + -3 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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