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Simplifying 4 + -4x = 7x + -117 Reorder the terms: 4 + -4x = -117 + 7x Solving 4 + -4x = -117 + 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. 4 + -4x + -7x = -117 + 7x + -7x Combine like terms: -4x + -7x = -11x 4 + -11x = -117 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -11x = -117 + 0 4 + -11x = -117 Add '-4' to each side of the equation. 4 + -4 + -11x = -117 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -117 + -4 -11x = -117 + -4 Combine like terms: -117 + -4 = -121 -11x = -121 Divide each side by '-11'. x = 11 Simplifying x = 11
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