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Simplifying 5(x + 2) = -7x Reorder the terms: 5(2 + x) = -7x (2 * 5 + x * 5) = -7x (10 + 5x) = -7x Solving 10 + 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. 10 + 5x + 7x = -7x + 7x Combine like terms: 5x + 7x = 12x 10 + 12x = -7x + 7x Combine like terms: -7x + 7x = 0 10 + 12x = 0 Add '-10' to each side of the equation. 10 + -10 + 12x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 0 + -10 12x = 0 + -10 Combine like terms: 0 + -10 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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