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