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Simplifying 3x + 105 = 5x + -233 Reorder the terms: 105 + 3x = 5x + -233 Reorder the terms: 105 + 3x = -233 + 5x Solving 105 + 3x = -233 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 105 + 3x + -5x = -233 + 5x + -5x Combine like terms: 3x + -5x = -2x 105 + -2x = -233 + 5x + -5x Combine like terms: 5x + -5x = 0 105 + -2x = -233 + 0 105 + -2x = -233 Add '-105' to each side of the equation. 105 + -105 + -2x = -233 + -105 Combine like terms: 105 + -105 = 0 0 + -2x = -233 + -105 -2x = -233 + -105 Combine like terms: -233 + -105 = -338 -2x = -338 Divide each side by '-2'. x = 169 Simplifying x = 169
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