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Simplifying (45x + 75) = (3x + 5) Reorder the terms: (75 + 45x) = (3x + 5) Remove parenthesis around (75 + 45x) 75 + 45x = (3x + 5) Reorder the terms: 75 + 45x = (5 + 3x) Remove parenthesis around (5 + 3x) 75 + 45x = 5 + 3x Solving 75 + 45x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 75 + 45x + -3x = 5 + 3x + -3x Combine like terms: 45x + -3x = 42x 75 + 42x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 75 + 42x = 5 + 0 75 + 42x = 5 Add '-75' to each side of the equation. 75 + -75 + 42x = 5 + -75 Combine like terms: 75 + -75 = 0 0 + 42x = 5 + -75 42x = 5 + -75 Combine like terms: 5 + -75 = -70 42x = -70 Divide each side by '42'. x = -1.666666667 Simplifying x = -1.666666667
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