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