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Simplifying 8(x + -4) = -4(x + -16) Reorder the terms: 8(-4 + x) = -4(x + -16) (-4 * 8 + x * 8) = -4(x + -16) (-32 + 8x) = -4(x + -16) Reorder the terms: -32 + 8x = -4(-16 + x) -32 + 8x = (-16 * -4 + x * -4) -32 + 8x = (64 + -4x) Solving -32 + 8x = 64 + -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. -32 + 8x + 4x = 64 + -4x + 4x Combine like terms: 8x + 4x = 12x -32 + 12x = 64 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 12x = 64 + 0 -32 + 12x = 64 Add '32' to each side of the equation. -32 + 32 + 12x = 64 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 64 + 32 12x = 64 + 32 Combine like terms: 64 + 32 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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