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Simplifying 4x + -5 = 116 + -7x Reorder the terms: -5 + 4x = 116 + -7x Solving -5 + 4x = 116 + -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. -5 + 4x + 7x = 116 + -7x + 7x Combine like terms: 4x + 7x = 11x -5 + 11x = 116 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 11x = 116 + 0 -5 + 11x = 116 Add '5' to each side of the equation. -5 + 5 + 11x = 116 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 116 + 5 11x = 116 + 5 Combine like terms: 116 + 5 = 121 11x = 121 Divide each side by '11'. x = 11 Simplifying x = 11
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