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Simplifying 4(x + 4) = -2(x + 4) Reorder the terms: 4(4 + x) = -2(x + 4) (4 * 4 + x * 4) = -2(x + 4) (16 + 4x) = -2(x + 4) Reorder the terms: 16 + 4x = -2(4 + x) 16 + 4x = (4 * -2 + x * -2) 16 + 4x = (-8 + -2x) Solving 16 + 4x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 16 + 4x + 2x = -8 + -2x + 2x Combine like terms: 4x + 2x = 6x 16 + 6x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + 6x = -8 + 0 16 + 6x = -8 Add '-16' to each side of the equation. 16 + -16 + 6x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = -8 + -16 6x = -8 + -16 Combine like terms: -8 + -16 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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