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Simplifying 5(x + 1) = 3(x + 2) + 11 Reorder the terms: 5(1 + x) = 3(x + 2) + 11 (1 * 5 + x * 5) = 3(x + 2) + 11 (5 + 5x) = 3(x + 2) + 11 Reorder the terms: 5 + 5x = 3(2 + x) + 11 5 + 5x = (2 * 3 + x * 3) + 11 5 + 5x = (6 + 3x) + 11 Reorder the terms: 5 + 5x = 6 + 11 + 3x Combine like terms: 6 + 11 = 17 5 + 5x = 17 + 3x Solving 5 + 5x = 17 + 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. 5 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x 5 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 2x = 17 + 0 5 + 2x = 17 Add '-5' to each side of the equation. 5 + -5 + 2x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 17 + -5 2x = 17 + -5 Combine like terms: 17 + -5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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