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Simplifying 8(x + -4) = -2(4x + -16) Reorder the terms: 8(-4 + x) = -2(4x + -16) (-4 * 8 + x * 8) = -2(4x + -16) (-32 + 8x) = -2(4x + -16) Reorder the terms: -32 + 8x = -2(-16 + 4x) -32 + 8x = (-16 * -2 + 4x * -2) -32 + 8x = (32 + -8x) Solving -32 + 8x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -32 + 8x + 8x = 32 + -8x + 8x Combine like terms: 8x + 8x = 16x -32 + 16x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + 16x = 32 + 0 -32 + 16x = 32 Add '32' to each side of the equation. -32 + 32 + 16x = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 32 + 32 16x = 32 + 32 Combine like terms: 32 + 32 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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