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Simplifying 2(7x + 1) = 3(x + 8) Reorder the terms: 2(1 + 7x) = 3(x + 8) (1 * 2 + 7x * 2) = 3(x + 8) (2 + 14x) = 3(x + 8) Reorder the terms: 2 + 14x = 3(8 + x) 2 + 14x = (8 * 3 + x * 3) 2 + 14x = (24 + 3x) Solving 2 + 14x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 14x + -3x = 24 + 3x + -3x Combine like terms: 14x + -3x = 11x 2 + 11x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 11x = 24 + 0 2 + 11x = 24 Add '-2' to each side of the equation. 2 + -2 + 11x = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 24 + -2 11x = 24 + -2 Combine like terms: 24 + -2 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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