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Simplifying 6x + 10 = -5x + 76 Reorder the terms: 10 + 6x = -5x + 76 Reorder the terms: 10 + 6x = 76 + -5x Solving 10 + 6x = 76 + -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. 10 + 6x + 5x = 76 + -5x + 5x Combine like terms: 6x + 5x = 11x 10 + 11x = 76 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 11x = 76 + 0 10 + 11x = 76 Add '-10' to each side of the equation. 10 + -10 + 11x = 76 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 76 + -10 11x = 76 + -10 Combine like terms: 76 + -10 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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