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Simplifying 2(x + 5) = -2 + -4x Reorder the terms: 2(5 + x) = -2 + -4x (5 * 2 + x * 2) = -2 + -4x (10 + 2x) = -2 + -4x Solving 10 + 2x = -2 + -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. 10 + 2x + 4x = -2 + -4x + 4x Combine like terms: 2x + 4x = 6x 10 + 6x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 6x = -2 + 0 10 + 6x = -2 Add '-10' to each side of the equation. 10 + -10 + 6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -2 + -10 6x = -2 + -10 Combine like terms: -2 + -10 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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