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