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Simplifying 5(x + 2) = -2(x + 4) Reorder the terms: 5(2 + x) = -2(x + 4) (2 * 5 + x * 5) = -2(x + 4) (10 + 5x) = -2(x + 4) Reorder the terms: 10 + 5x = -2(4 + x) 10 + 5x = (4 * -2 + x * -2) 10 + 5x = (-8 + -2x) Solving 10 + 5x = -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. 10 + 5x + 2x = -8 + -2x + 2x Combine like terms: 5x + 2x = 7x 10 + 7x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 7x = -8 + 0 10 + 7x = -8 Add '-10' to each side of the equation. 10 + -10 + 7x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -8 + -10 7x = -8 + -10 Combine like terms: -8 + -10 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571
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