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Simplifying (4x + -25) + (3x + -75) = 180 Reorder the terms: (-25 + 4x) + (3x + -75) = 180 Remove parenthesis around (-25 + 4x) -25 + 4x + (3x + -75) = 180 Reorder the terms: -25 + 4x + (-75 + 3x) = 180 Remove parenthesis around (-75 + 3x) -25 + 4x + -75 + 3x = 180 Reorder the terms: -25 + -75 + 4x + 3x = 180 Combine like terms: -25 + -75 = -100 -100 + 4x + 3x = 180 Combine like terms: 4x + 3x = 7x -100 + 7x = 180 Solving -100 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 7x = 180 + 100 Combine like terms: -100 + 100 = 0 0 + 7x = 180 + 100 7x = 180 + 100 Combine like terms: 180 + 100 = 280 7x = 280 Divide each side by '7'. x = 40 Simplifying x = 40
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