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Simplifying 2(4x + 1) = 2(2x + -4) Reorder the terms: 2(1 + 4x) = 2(2x + -4) (1 * 2 + 4x * 2) = 2(2x + -4) (2 + 8x) = 2(2x + -4) Reorder the terms: 2 + 8x = 2(-4 + 2x) 2 + 8x = (-4 * 2 + 2x * 2) 2 + 8x = (-8 + 4x) Solving 2 + 8x = -8 + 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 = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x 2 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 4x = -8 + 0 2 + 4x = -8 Add '-2' to each side of the equation. 2 + -2 + 4x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -8 + -2 4x = -8 + -2 Combine like terms: -8 + -2 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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