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Simplifying 5x + 5 = -7x + 41 Reorder the terms: 5 + 5x = -7x + 41 Reorder the terms: 5 + 5x = 41 + -7x Solving 5 + 5x = 41 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 5x + 7x = 41 + -7x + 7x Combine like terms: 5x + 7x = 12x 5 + 12x = 41 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 12x = 41 + 0 5 + 12x = 41 Add '-5' to each side of the equation. 5 + -5 + 12x = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 41 + -5 12x = 41 + -5 Combine like terms: 41 + -5 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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