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Simplifying 2(4x + 1) = -8 + 6x Reorder the terms: 2(1 + 4x) = -8 + 6x (1 * 2 + 4x * 2) = -8 + 6x (2 + 8x) = -8 + 6x Solving 2 + 8x = -8 + 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 = -8 + 6x + -6x Combine like terms: 8x + -6x = 2x 2 + 2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 2x = -8 + 0 2 + 2x = -8 Add '-2' to each side of the equation. 2 + -2 + 2x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -8 + -2 2x = -8 + -2 Combine like terms: -8 + -2 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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