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Simplifying 5(x + 2) = 3(x + 3) + 1 Reorder the terms: 5(2 + x) = 3(x + 3) + 1 (2 * 5 + x * 5) = 3(x + 3) + 1 (10 + 5x) = 3(x + 3) + 1 Reorder the terms: 10 + 5x = 3(3 + x) + 1 10 + 5x = (3 * 3 + x * 3) + 1 10 + 5x = (9 + 3x) + 1 Reorder the terms: 10 + 5x = 9 + 1 + 3x Combine like terms: 9 + 1 = 10 10 + 5x = 10 + 3x Add '-10' to each side of the equation. 10 + -10 + 5x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 5x = 10 + -10 + 3x 5x = 10 + -10 + 3x Combine like terms: 10 + -10 = 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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