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Simplifying 5x + 1 = 2(2x + 4) Reorder the terms: 1 + 5x = 2(2x + 4) Reorder the terms: 1 + 5x = 2(4 + 2x) 1 + 5x = (4 * 2 + 2x * 2) 1 + 5x = (8 + 4x) Solving 1 + 5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = 8 + 0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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