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Simplifying 9x + 1 = 2(1 + 4x) Reorder the terms: 1 + 9x = 2(1 + 4x) 1 + 9x = (1 * 2 + 4x * 2) 1 + 9x = (2 + 8x) Solving 1 + 9x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 9x + -8x = 2 + 8x + -8x Combine like terms: 9x + -8x = 1x 1 + 1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + 1x = 2 + 0 1 + 1x = 2 Add '-1' to each side of the equation. 1 + -1 + 1x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 2 + -1 1x = 2 + -1 Combine like terms: 2 + -1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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