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Simplifying -2(-7 + -1x) = -4 + -5(2 + x) (-7 * -2 + -1x * -2) = -4 + -5(2 + x) (14 + 2x) = -4 + -5(2 + x) 14 + 2x = -4 + (2 * -5 + x * -5) 14 + 2x = -4 + (-10 + -5x) Combine like terms: -4 + -10 = -14 14 + 2x = -14 + -5x Solving 14 + 2x = -14 + -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. 14 + 2x + 5x = -14 + -5x + 5x Combine like terms: 2x + 5x = 7x 14 + 7x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 7x = -14 + 0 14 + 7x = -14 Add '-14' to each side of the equation. 14 + -14 + 7x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = -14 + -14 7x = -14 + -14 Combine like terms: -14 + -14 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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