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Simplifying 2(4x + 1) = 8 + 7x Reorder the terms: 2(1 + 4x) = 8 + 7x (1 * 2 + 4x * 2) = 8 + 7x (2 + 8x) = 8 + 7x Solving 2 + 8x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 8x + -7x = 8 + 7x + -7x Combine like terms: 8x + -7x = 1x 2 + 1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 1x = 8 + 0 2 + 1x = 8 Add '-2' to each side of the equation. 2 + -2 + 1x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 8 + -2 1x = 8 + -2 Combine like terms: 8 + -2 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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