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Simplifying -75 + 11x = 4x + 114 Reorder the terms: -75 + 11x = 114 + 4x Solving -75 + 11x = 114 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -75 + 11x + -4x = 114 + 4x + -4x Combine like terms: 11x + -4x = 7x -75 + 7x = 114 + 4x + -4x Combine like terms: 4x + -4x = 0 -75 + 7x = 114 + 0 -75 + 7x = 114 Add '75' to each side of the equation. -75 + 75 + 7x = 114 + 75 Combine like terms: -75 + 75 = 0 0 + 7x = 114 + 75 7x = 114 + 75 Combine like terms: 114 + 75 = 189 7x = 189 Divide each side by '7'. x = 27 Simplifying x = 27
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