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Simplifying 4(4x + 1) = 2x + -8x Reorder the terms: 4(1 + 4x) = 2x + -8x (1 * 4 + 4x * 4) = 2x + -8x (4 + 16x) = 2x + -8x Combine like terms: 2x + -8x = -6x 4 + 16x = -6x Solving 4 + 16x = -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. 4 + 16x + 6x = -6x + 6x Combine like terms: 16x + 6x = 22x 4 + 22x = -6x + 6x Combine like terms: -6x + 6x = 0 4 + 22x = 0 Add '-4' to each side of the equation. 4 + -4 + 22x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 22x = 0 + -4 22x = 0 + -4 Combine like terms: 0 + -4 = -4 22x = -4 Divide each side by '22'. x = -0.1818181818 Simplifying x = -0.1818181818
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