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