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Simplifying (20x + -4) + -5x = 7 + -1(25 + -50x) Reorder the terms: (-4 + 20x) + -5x = 7 + -1(25 + -50x) Remove parenthesis around (-4 + 20x) -4 + 20x + -5x = 7 + -1(25 + -50x) Combine like terms: 20x + -5x = 15x -4 + 15x = 7 + -1(25 + -50x) -4 + 15x = 7 + (25 * -1 + -50x * -1) -4 + 15x = 7 + (-25 + 50x) Combine like terms: 7 + -25 = -18 -4 + 15x = -18 + 50x Solving -4 + 15x = -18 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -4 + 15x + -50x = -18 + 50x + -50x Combine like terms: 15x + -50x = -35x -4 + -35x = -18 + 50x + -50x Combine like terms: 50x + -50x = 0 -4 + -35x = -18 + 0 -4 + -35x = -18 Add '4' to each side of the equation. -4 + 4 + -35x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -35x = -18 + 4 -35x = -18 + 4 Combine like terms: -18 + 4 = -14 -35x = -14 Divide each side by '-35'. x = 0.4 Simplifying x = 0.4
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