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Simplifying 2(4x + 1) = 7(x + 1) Reorder the terms: 2(1 + 4x) = 7(x + 1) (1 * 2 + 4x * 2) = 7(x + 1) (2 + 8x) = 7(x + 1) Reorder the terms: 2 + 8x = 7(1 + x) 2 + 8x = (1 * 7 + x * 7) 2 + 8x = (7 + 7x) Solving 2 + 8x = 7 + 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 = 7 + 7x + -7x Combine like terms: 8x + -7x = 1x 2 + 1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 1x = 7 + 0 2 + 1x = 7 Add '-2' to each side of the equation. 2 + -2 + 1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 7 + -2 1x = 7 + -2 Combine like terms: 7 + -2 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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