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Simplifying 5(4 + 5x) = -2(1 + -7x) (4 * 5 + 5x * 5) = -2(1 + -7x) (20 + 25x) = -2(1 + -7x) 20 + 25x = (1 * -2 + -7x * -2) 20 + 25x = (-2 + 14x) Solving 20 + 25x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 20 + 25x + -14x = -2 + 14x + -14x Combine like terms: 25x + -14x = 11x 20 + 11x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 20 + 11x = -2 + 0 20 + 11x = -2 Add '-20' to each side of the equation. 20 + -20 + 11x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = -2 + -20 11x = -2 + -20 Combine like terms: -2 + -20 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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