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Simplifying 8(x + 4) = 16(x + -4) Reorder the terms: 8(4 + x) = 16(x + -4) (4 * 8 + x * 8) = 16(x + -4) (32 + 8x) = 16(x + -4) Reorder the terms: 32 + 8x = 16(-4 + x) 32 + 8x = (-4 * 16 + x * 16) 32 + 8x = (-64 + 16x) Solving 32 + 8x = -64 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 32 + 8x + -16x = -64 + 16x + -16x Combine like terms: 8x + -16x = -8x 32 + -8x = -64 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -8x = -64 + 0 32 + -8x = -64 Add '-32' to each side of the equation. 32 + -32 + -8x = -64 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = -64 + -32 -8x = -64 + -32 Combine like terms: -64 + -32 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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