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Simplifying 2(8x + -16) = 4(8x + -4) Reorder the terms: 2(-16 + 8x) = 4(8x + -4) (-16 * 2 + 8x * 2) = 4(8x + -4) (-32 + 16x) = 4(8x + -4) Reorder the terms: -32 + 16x = 4(-4 + 8x) -32 + 16x = (-4 * 4 + 8x * 4) -32 + 16x = (-16 + 32x) Solving -32 + 16x = -16 + 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 + 16x + -32x = -16 + 32x + -32x Combine like terms: 16x + -32x = -16x -32 + -16x = -16 + 32x + -32x Combine like terms: 32x + -32x = 0 -32 + -16x = -16 + 0 -32 + -16x = -16 Add '32' to each side of the equation. -32 + 32 + -16x = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -16x = -16 + 32 -16x = -16 + 32 Combine like terms: -16 + 32 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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