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Simplifying 5(x + 6) + 1 = 3(x + 2) Reorder the terms: 5(6 + x) + 1 = 3(x + 2) (6 * 5 + x * 5) + 1 = 3(x + 2) (30 + 5x) + 1 = 3(x + 2) Reorder the terms: 30 + 1 + 5x = 3(x + 2) Combine like terms: 30 + 1 = 31 31 + 5x = 3(x + 2) Reorder the terms: 31 + 5x = 3(2 + x) 31 + 5x = (2 * 3 + x * 3) 31 + 5x = (6 + 3x) Solving 31 + 5x = 6 + 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. 31 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 31 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 31 + 2x = 6 + 0 31 + 2x = 6 Add '-31' to each side of the equation. 31 + -31 + 2x = 6 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 6 + -31 2x = 6 + -31 Combine like terms: 6 + -31 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5
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