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Simplifying 4(x + 4) = -4(2 + -3x) Reorder the terms: 4(4 + x) = -4(2 + -3x) (4 * 4 + x * 4) = -4(2 + -3x) (16 + 4x) = -4(2 + -3x) 16 + 4x = (2 * -4 + -3x * -4) 16 + 4x = (-8 + 12x) Solving 16 + 4x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 4x + -12x = -8 + 12x + -12x Combine like terms: 4x + -12x = -8x 16 + -8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -8x = -8 + 0 16 + -8x = -8 Add '-16' to each side of the equation. 16 + -16 + -8x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = -8 + -16 -8x = -8 + -16 Combine like terms: -8 + -16 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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