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Simplifying 4(x + 4) = 8(x + -4) Reorder the terms: 4(4 + x) = 8(x + -4) (4 * 4 + x * 4) = 8(x + -4) (16 + 4x) = 8(x + -4) Reorder the terms: 16 + 4x = 8(-4 + x) 16 + 4x = (-4 * 8 + x * 8) 16 + 4x = (-32 + 8x) Solving 16 + 4x = -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. 16 + 4x + -8x = -32 + 8x + -8x Combine like terms: 4x + -8x = -4x 16 + -4x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -4x = -32 + 0 16 + -4x = -32 Add '-16' to each side of the equation. 16 + -16 + -4x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -32 + -16 -4x = -32 + -16 Combine like terms: -32 + -16 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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