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Simplifying 5(x + 2) + 13 = 3(x + 4) + 11 Reorder the terms: 5(2 + x) + 13 = 3(x + 4) + 11 (2 * 5 + x * 5) + 13 = 3(x + 4) + 11 (10 + 5x) + 13 = 3(x + 4) + 11 Reorder the terms: 10 + 13 + 5x = 3(x + 4) + 11 Combine like terms: 10 + 13 = 23 23 + 5x = 3(x + 4) + 11 Reorder the terms: 23 + 5x = 3(4 + x) + 11 23 + 5x = (4 * 3 + x * 3) + 11 23 + 5x = (12 + 3x) + 11 Reorder the terms: 23 + 5x = 12 + 11 + 3x Combine like terms: 12 + 11 = 23 23 + 5x = 23 + 3x Add '-23' to each side of the equation. 23 + -23 + 5x = 23 + -23 + 3x Combine like terms: 23 + -23 = 0 0 + 5x = 23 + -23 + 3x 5x = 23 + -23 + 3x Combine like terms: 23 + -23 = 0 5x = 0 + 3x 5x = 3x Solving 5x = 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. 5x + -3x = 3x + -3x Combine like terms: 5x + -3x = 2x 2x = 3x + -3x Combine like terms: 3x + -3x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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