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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 = 39x 20 + 39x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 20 + 39x = 2 + 0 20 + 39x = 2 Add '-20' to each side of the equation. 20 + -20 + 39x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 39x = 2 + -20 39x = 2 + -20 Combine like terms: 2 + -20 = -18 39x = -18 Divide each side by '39'. x = -0.4615384615 Simplifying x = -0.4615384615
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