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Simplifying (3x + -15) = (7x + -75) Reorder the terms: (-15 + 3x) = (7x + -75) Remove parenthesis around (-15 + 3x) -15 + 3x = (7x + -75) Reorder the terms: -15 + 3x = (-75 + 7x) Remove parenthesis around (-75 + 7x) -15 + 3x = -75 + 7x Solving -15 + 3x = -75 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 3x + -7x = -75 + 7x + -7x Combine like terms: 3x + -7x = -4x -15 + -4x = -75 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -4x = -75 + 0 -15 + -4x = -75 Add '15' to each side of the equation. -15 + 15 + -4x = -75 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = -75 + 15 -4x = -75 + 15 Combine like terms: -75 + 15 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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