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Simplifying 2(x + 6) + 3(x + -5) = 17 Reorder the terms: 2(6 + x) + 3(x + -5) = 17 (6 * 2 + x * 2) + 3(x + -5) = 17 (12 + 2x) + 3(x + -5) = 17 Reorder the terms: 12 + 2x + 3(-5 + x) = 17 12 + 2x + (-5 * 3 + x * 3) = 17 12 + 2x + (-15 + 3x) = 17 Reorder the terms: 12 + -15 + 2x + 3x = 17 Combine like terms: 12 + -15 = -3 -3 + 2x + 3x = 17 Combine like terms: 2x + 3x = 5x -3 + 5x = 17 Solving -3 + 5x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 17 + 3 5x = 17 + 3 Combine like terms: 17 + 3 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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