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Simplifying 2(2x + 4) = -4(x + -16) Reorder the terms: 2(4 + 2x) = -4(x + -16) (4 * 2 + 2x * 2) = -4(x + -16) (8 + 4x) = -4(x + -16) Reorder the terms: 8 + 4x = -4(-16 + x) 8 + 4x = (-16 * -4 + x * -4) 8 + 4x = (64 + -4x) Solving 8 + 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. 8 + 4x + 4x = 64 + -4x + 4x Combine like terms: 4x + 4x = 8x 8 + 8x = 64 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 8x = 64 + 0 8 + 8x = 64 Add '-8' to each side of the equation. 8 + -8 + 8x = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 64 + -8 8x = 64 + -8 Combine like terms: 64 + -8 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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