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Simplifying (14x + -75) + -1(-3x + 25) = 0 Reorder the terms: (-75 + 14x) + -1(-3x + 25) = 0 Remove parenthesis around (-75 + 14x) -75 + 14x + -1(-3x + 25) = 0 Reorder the terms: -75 + 14x + -1(25 + -3x) = 0 -75 + 14x + (25 * -1 + -3x * -1) = 0 -75 + 14x + (-25 + 3x) = 0 Reorder the terms: -75 + -25 + 14x + 3x = 0 Combine like terms: -75 + -25 = -100 -100 + 14x + 3x = 0 Combine like terms: 14x + 3x = 17x -100 + 17x = 0 Solving -100 + 17x = 0 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 + 17x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 17x = 0 + 100 17x = 0 + 100 Combine like terms: 0 + 100 = 100 17x = 100 Divide each side by '17'. x = 5.882352941 Simplifying x = 5.882352941
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