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Simplifying 4x + -117 = 11x + 44 Reorder the terms: -117 + 4x = 11x + 44 Reorder the terms: -117 + 4x = 44 + 11x Solving -117 + 4x = 44 + 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. -117 + 4x + -11x = 44 + 11x + -11x Combine like terms: 4x + -11x = -7x -117 + -7x = 44 + 11x + -11x Combine like terms: 11x + -11x = 0 -117 + -7x = 44 + 0 -117 + -7x = 44 Add '117' to each side of the equation. -117 + 117 + -7x = 44 + 117 Combine like terms: -117 + 117 = 0 0 + -7x = 44 + 117 -7x = 44 + 117 Combine like terms: 44 + 117 = 161 -7x = 161 Divide each side by '-7'. x = -23 Simplifying x = -23
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