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Simplifying 10x + 2(x + 10) + 1 = 7x + 41 Reorder the terms: 10x + 2(10 + x) + 1 = 7x + 41 10x + (10 * 2 + x * 2) + 1 = 7x + 41 10x + (20 + 2x) + 1 = 7x + 41 Reorder the terms: 20 + 1 + 10x + 2x = 7x + 41 Combine like terms: 20 + 1 = 21 21 + 10x + 2x = 7x + 41 Combine like terms: 10x + 2x = 12x 21 + 12x = 7x + 41 Reorder the terms: 21 + 12x = 41 + 7x Solving 21 + 12x = 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. 21 + 12x + -7x = 41 + 7x + -7x Combine like terms: 12x + -7x = 5x 21 + 5x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 5x = 41 + 0 21 + 5x = 41 Add '-21' to each side of the equation. 21 + -21 + 5x = 41 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 41 + -21 5x = 41 + -21 Combine like terms: 41 + -21 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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