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Simplifying 4x + -117 = -9x + 65 Reorder the terms: -117 + 4x = -9x + 65 Reorder the terms: -117 + 4x = 65 + -9x Solving -117 + 4x = 65 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -117 + 4x + 9x = 65 + -9x + 9x Combine like terms: 4x + 9x = 13x -117 + 13x = 65 + -9x + 9x Combine like terms: -9x + 9x = 0 -117 + 13x = 65 + 0 -117 + 13x = 65 Add '117' to each side of the equation. -117 + 117 + 13x = 65 + 117 Combine like terms: -117 + 117 = 0 0 + 13x = 65 + 117 13x = 65 + 117 Combine like terms: 65 + 117 = 182 13x = 182 Divide each side by '13'. x = 14 Simplifying x = 14
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