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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 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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