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Simplifying 5(x + 6) = -5(x + 4) Reorder the terms: 5(6 + x) = -5(x + 4) (6 * 5 + x * 5) = -5(x + 4) (30 + 5x) = -5(x + 4) Reorder the terms: 30 + 5x = -5(4 + x) 30 + 5x = (4 * -5 + x * -5) 30 + 5x = (-20 + -5x) Solving 30 + 5x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + 5x + 5x = -20 + -5x + 5x Combine like terms: 5x + 5x = 10x 30 + 10x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 10x = -20 + 0 30 + 10x = -20 Add '-30' to each side of the equation. 30 + -30 + 10x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = -20 + -30 10x = -20 + -30 Combine like terms: -20 + -30 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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