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Simplifying 116 + -1x + 49 = x + 91 Reorder the terms: 116 + 49 + -1x = x + 91 Combine like terms: 116 + 49 = 165 165 + -1x = x + 91 Reorder the terms: 165 + -1x = 91 + x Solving 165 + -1x = 91 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 165 + -1x + -1x = 91 + x + -1x Combine like terms: -1x + -1x = -2x 165 + -2x = 91 + x + -1x Combine like terms: x + -1x = 0 165 + -2x = 91 + 0 165 + -2x = 91 Add '-165' to each side of the equation. 165 + -165 + -2x = 91 + -165 Combine like terms: 165 + -165 = 0 0 + -2x = 91 + -165 -2x = 91 + -165 Combine like terms: 91 + -165 = -74 -2x = -74 Divide each side by '-2'. x = 37 Simplifying x = 37
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