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Simplifying 9x + 2 = 2(-1 + 4x) Reorder the terms: 2 + 9x = 2(-1 + 4x) 2 + 9x = (-1 * 2 + 4x * 2) 2 + 9x = (-2 + 8x) Solving 2 + 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. 2 + 9x + -8x = -2 + 8x + -8x Combine like terms: 9x + -8x = 1x 2 + 1x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 1x = -2 + 0 2 + 1x = -2 Add '-2' to each side of the equation. 2 + -2 + 1x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -2 + -2 1x = -2 + -2 Combine like terms: -2 + -2 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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