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Simplifying 2(4x + 1) = 2x + -8x Reorder the terms: 2(1 + 4x) = 2x + -8x (1 * 2 + 4x * 2) = 2x + -8x (2 + 8x) = 2x + -8x Combine like terms: 2x + -8x = -6x 2 + 8x = -6x Solving 2 + 8x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + 8x + 6x = -6x + 6x Combine like terms: 8x + 6x = 14x 2 + 14x = -6x + 6x Combine like terms: -6x + 6x = 0 2 + 14x = 0 Add '-2' to each side of the equation. 2 + -2 + 14x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 0 + -2 14x = 0 + -2 Combine like terms: 0 + -2 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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