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