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Simplifying 5(x + 4) = -7x Reorder the terms: 5(4 + x) = -7x (4 * 5 + x * 5) = -7x (20 + 5x) = -7x Solving 20 + 5x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + 5x + 7x = -7x + 7x Combine like terms: 5x + 7x = 12x 20 + 12x = -7x + 7x Combine like terms: -7x + 7x = 0 20 + 12x = 0 Add '-20' to each side of the equation. 20 + -20 + 12x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 0 + -20 12x = 0 + -20 Combine like terms: 0 + -20 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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