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Simplifying 5x + 117 = 3x + 191 Reorder the terms: 117 + 5x = 3x + 191 Reorder the terms: 117 + 5x = 191 + 3x Solving 117 + 5x = 191 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 117 + 5x + -3x = 191 + 3x + -3x Combine like terms: 5x + -3x = 2x 117 + 2x = 191 + 3x + -3x Combine like terms: 3x + -3x = 0 117 + 2x = 191 + 0 117 + 2x = 191 Add '-117' to each side of the equation. 117 + -117 + 2x = 191 + -117 Combine like terms: 117 + -117 = 0 0 + 2x = 191 + -117 2x = 191 + -117 Combine like terms: 191 + -117 = 74 2x = 74 Divide each side by '2'. x = 37 Simplifying x = 37
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