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Simplifying 11x + 10 + -2x = 3x + 2 + 74 Reorder the terms: 10 + 11x + -2x = 3x + 2 + 74 Combine like terms: 11x + -2x = 9x 10 + 9x = 3x + 2 + 74 Reorder the terms: 10 + 9x = 2 + 74 + 3x Combine like terms: 2 + 74 = 76 10 + 9x = 76 + 3x Solving 10 + 9x = 76 + 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. 10 + 9x + -3x = 76 + 3x + -3x Combine like terms: 9x + -3x = 6x 10 + 6x = 76 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 6x = 76 + 0 10 + 6x = 76 Add '-10' to each side of the equation. 10 + -10 + 6x = 76 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 76 + -10 6x = 76 + -10 Combine like terms: 76 + -10 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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