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Simplifying 3(x + 7) + 2(x + -5) = 36 Reorder the terms: 3(7 + x) + 2(x + -5) = 36 (7 * 3 + x * 3) + 2(x + -5) = 36 (21 + 3x) + 2(x + -5) = 36 Reorder the terms: 21 + 3x + 2(-5 + x) = 36 21 + 3x + (-5 * 2 + x * 2) = 36 21 + 3x + (-10 + 2x) = 36 Reorder the terms: 21 + -10 + 3x + 2x = 36 Combine like terms: 21 + -10 = 11 11 + 3x + 2x = 36 Combine like terms: 3x + 2x = 5x 11 + 5x = 36 Solving 11 + 5x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 36 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 36 + -11 5x = 36 + -11 Combine like terms: 36 + -11 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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