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Simplifying 4x + -8 + 4(2x + 1) = -2(x + 8) Reorder the terms: 4x + -8 + 4(1 + 2x) = -2(x + 8) 4x + -8 + (1 * 4 + 2x * 4) = -2(x + 8) 4x + -8 + (4 + 8x) = -2(x + 8) Reorder the terms: -8 + 4 + 4x + 8x = -2(x + 8) Combine like terms: -8 + 4 = -4 -4 + 4x + 8x = -2(x + 8) Combine like terms: 4x + 8x = 12x -4 + 12x = -2(x + 8) Reorder the terms: -4 + 12x = -2(8 + x) -4 + 12x = (8 * -2 + x * -2) -4 + 12x = (-16 + -2x) Solving -4 + 12x = -16 + -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 + 12x + 2x = -16 + -2x + 2x Combine like terms: 12x + 2x = 14x -4 + 14x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 14x = -16 + 0 -4 + 14x = -16 Add '4' to each side of the equation. -4 + 4 + 14x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -16 + 4 14x = -16 + 4 Combine like terms: -16 + 4 = -12 14x = -12 Divide each side by '14'. x = -0.8571428571 Simplifying x = -0.8571428571
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