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Simplifying 2(4x + 1) = 2x + -6x Reorder the terms: 2(1 + 4x) = 2x + -6x (1 * 2 + 4x * 2) = 2x + -6x (2 + 8x) = 2x + -6x Combine like terms: 2x + -6x = -4x 2 + 8x = -4x Solving 2 + 8x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 8x + 4x = -4x + 4x Combine like terms: 8x + 4x = 12x 2 + 12x = -4x + 4x Combine like terms: -4x + 4x = 0 2 + 12x = 0 Add '-2' to each side of the equation. 2 + -2 + 12x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 0 + -2 12x = 0 + -2 Combine like terms: 0 + -2 = -2 12x = -2 Divide each side by '12'. x = -0.1666666667 Simplifying x = -0.1666666667
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