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Simplifying 0.75(x + -40) = 0.35(x + 20) + 0.35(x + 20) Reorder the terms: 0.75(-40 + x) = 0.35(x + 20) + 0.35(x + 20) (-40 * 0.75 + x * 0.75) = 0.35(x + 20) + 0.35(x + 20) (-30 + 0.75x) = 0.35(x + 20) + 0.35(x + 20) Reorder the terms: -30 + 0.75x = 0.35(20 + x) + 0.35(x + 20) -30 + 0.75x = (20 * 0.35 + x * 0.35) + 0.35(x + 20) -30 + 0.75x = (7 + 0.35x) + 0.35(x + 20) Reorder the terms: -30 + 0.75x = 7 + 0.35x + 0.35(20 + x) -30 + 0.75x = 7 + 0.35x + (20 * 0.35 + x * 0.35) -30 + 0.75x = 7 + 0.35x + (7 + 0.35x) Reorder the terms: -30 + 0.75x = 7 + 7 + 0.35x + 0.35x Combine like terms: 7 + 7 = 14 -30 + 0.75x = 14 + 0.35x + 0.35x Combine like terms: 0.35x + 0.35x = 0.7x -30 + 0.75x = 14 + 0.7x Solving -30 + 0.75x = 14 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -30 + 0.75x + -0.7x = 14 + 0.7x + -0.7x Combine like terms: 0.75x + -0.7x = 0.05x -30 + 0.05x = 14 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -30 + 0.05x = 14 + 0.0 -30 + 0.05x = 14 Add '30' to each side of the equation. -30 + 30 + 0.05x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 0.05x = 14 + 30 0.05x = 14 + 30 Combine like terms: 14 + 30 = 44 0.05x = 44 Divide each side by '0.05'. x = 880 Simplifying x = 880
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