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Simplifying 5(x + 2) = 3(x + 6) Reorder the terms: 5(2 + x) = 3(x + 6) (2 * 5 + x * 5) = 3(x + 6) (10 + 5x) = 3(x + 6) Reorder the terms: 10 + 5x = 3(6 + x) 10 + 5x = (6 * 3 + x * 3) 10 + 5x = (18 + 3x) Solving 10 + 5x = 18 + 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. 10 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 18 + 0 10 + 2x = 18 Add '-10' to each side of the equation. 10 + -10 + 2x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 18 + -10 2x = 18 + -10 Combine like terms: 18 + -10 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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