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Simplifying 2(4x + 1) = 9x + -1 Reorder the terms: 2(1 + 4x) = 9x + -1 (1 * 2 + 4x * 2) = 9x + -1 (2 + 8x) = 9x + -1 Reorder the terms: 2 + 8x = -1 + 9x Solving 2 + 8x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 8x + -9x = -1 + 9x + -9x Combine like terms: 8x + -9x = -1x 2 + -1x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -1x = -1 + 0 2 + -1x = -1 Add '-2' to each side of the equation. 2 + -2 + -1x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -1 + -2 -1x = -1 + -2 Combine like terms: -1 + -2 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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