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Simplifying 3(4x + 1) = 2(x + 14) Reorder the terms: 3(1 + 4x) = 2(x + 14) (1 * 3 + 4x * 3) = 2(x + 14) (3 + 12x) = 2(x + 14) Reorder the terms: 3 + 12x = 2(14 + x) 3 + 12x = (14 * 2 + x * 2) 3 + 12x = (28 + 2x) Solving 3 + 12x = 28 + 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 = 28 + 2x + -2x Combine like terms: 12x + -2x = 10x 3 + 10x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 10x = 28 + 0 3 + 10x = 28 Add '-3' to each side of the equation. 3 + -3 + 10x = 28 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 28 + -3 10x = 28 + -3 Combine like terms: 28 + -3 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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