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