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