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Simplifying -25(4x + -3) = 5(20x + -5) Reorder the terms: -25(-3 + 4x) = 5(20x + -5) (-3 * -25 + 4x * -25) = 5(20x + -5) (75 + -100x) = 5(20x + -5) Reorder the terms: 75 + -100x = 5(-5 + 20x) 75 + -100x = (-5 * 5 + 20x * 5) 75 + -100x = (-25 + 100x) Solving 75 + -100x = -25 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 75 + -100x + -100x = -25 + 100x + -100x Combine like terms: -100x + -100x = -200x 75 + -200x = -25 + 100x + -100x Combine like terms: 100x + -100x = 0 75 + -200x = -25 + 0 75 + -200x = -25 Add '-75' to each side of the equation. 75 + -75 + -200x = -25 + -75 Combine like terms: 75 + -75 = 0 0 + -200x = -25 + -75 -200x = -25 + -75 Combine like terms: -25 + -75 = -100 -200x = -100 Divide each side by '-200'. x = 0.5 Simplifying x = 0.5
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