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Simplifying -4(2x + 8) = 16(2x + -4) Reorder the terms: -4(8 + 2x) = 16(2x + -4) (8 * -4 + 2x * -4) = 16(2x + -4) (-32 + -8x) = 16(2x + -4) Reorder the terms: -32 + -8x = 16(-4 + 2x) -32 + -8x = (-4 * 16 + 2x * 16) -32 + -8x = (-64 + 32x) Solving -32 + -8x = -64 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -32 + -8x + -32x = -64 + 32x + -32x Combine like terms: -8x + -32x = -40x -32 + -40x = -64 + 32x + -32x Combine like terms: 32x + -32x = 0 -32 + -40x = -64 + 0 -32 + -40x = -64 Add '32' to each side of the equation. -32 + 32 + -40x = -64 + 32 Combine like terms: -32 + 32 = 0 0 + -40x = -64 + 32 -40x = -64 + 32 Combine like terms: -64 + 32 = -32 -40x = -32 Divide each side by '-40'. x = 0.8 Simplifying x = 0.8
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