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Simplifying 4x + 175 = 11x + -14 Reorder the terms: 175 + 4x = 11x + -14 Reorder the terms: 175 + 4x = -14 + 11x Solving 175 + 4x = -14 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 175 + 4x + -11x = -14 + 11x + -11x Combine like terms: 4x + -11x = -7x 175 + -7x = -14 + 11x + -11x Combine like terms: 11x + -11x = 0 175 + -7x = -14 + 0 175 + -7x = -14 Add '-175' to each side of the equation. 175 + -175 + -7x = -14 + -175 Combine like terms: 175 + -175 = 0 0 + -7x = -14 + -175 -7x = -14 + -175 Combine like terms: -14 + -175 = -189 -7x = -189 Divide each side by '-7'. x = 27 Simplifying x = 27
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