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Simplifying 3x + 2 = 14x + -75 Reorder the terms: 2 + 3x = 14x + -75 Reorder the terms: 2 + 3x = -75 + 14x Solving 2 + 3x = -75 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2 + 3x + -14x = -75 + 14x + -14x Combine like terms: 3x + -14x = -11x 2 + -11x = -75 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + -11x = -75 + 0 2 + -11x = -75 Add '-2' to each side of the equation. 2 + -2 + -11x = -75 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -75 + -2 -11x = -75 + -2 Combine like terms: -75 + -2 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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