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Simplifying 4(2x + 3) = -4(5 + x) Reorder the terms: 4(3 + 2x) = -4(5 + x) (3 * 4 + 2x * 4) = -4(5 + x) (12 + 8x) = -4(5 + x) 12 + 8x = (5 * -4 + x * -4) 12 + 8x = (-20 + -4x) Solving 12 + 8x = -20 + -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. 12 + 8x + 4x = -20 + -4x + 4x Combine like terms: 8x + 4x = 12x 12 + 12x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 12x = -20 + 0 12 + 12x = -20 Add '-12' to each side of the equation. 12 + -12 + 12x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -20 + -12 12x = -20 + -12 Combine like terms: -20 + -12 = -32 12x = -32 Divide each side by '12'. x = -2.666666667 Simplifying x = -2.666666667
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