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Simplifying 3x + -9x + 76 = 5x + 32 Reorder the terms: 76 + 3x + -9x = 5x + 32 Combine like terms: 3x + -9x = -6x 76 + -6x = 5x + 32 Reorder the terms: 76 + -6x = 32 + 5x Solving 76 + -6x = 32 + 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. 76 + -6x + -5x = 32 + 5x + -5x Combine like terms: -6x + -5x = -11x 76 + -11x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 76 + -11x = 32 + 0 76 + -11x = 32 Add '-76' to each side of the equation. 76 + -76 + -11x = 32 + -76 Combine like terms: 76 + -76 = 0 0 + -11x = 32 + -76 -11x = 32 + -76 Combine like terms: 32 + -76 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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