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Simplifying 2(1 + 5x) = 3x + 51 (1 * 2 + 5x * 2) = 3x + 51 (2 + 10x) = 3x + 51 Reorder the terms: 2 + 10x = 51 + 3x Solving 2 + 10x = 51 + 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. 2 + 10x + -3x = 51 + 3x + -3x Combine like terms: 10x + -3x = 7x 2 + 7x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 7x = 51 + 0 2 + 7x = 51 Add '-2' to each side of the equation. 2 + -2 + 7x = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 51 + -2 7x = 51 + -2 Combine like terms: 51 + -2 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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