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Simplifying 2(x + 5) + 3(x + -7) = 9 Reorder the terms: 2(5 + x) + 3(x + -7) = 9 (5 * 2 + x * 2) + 3(x + -7) = 9 (10 + 2x) + 3(x + -7) = 9 Reorder the terms: 10 + 2x + 3(-7 + x) = 9 10 + 2x + (-7 * 3 + x * 3) = 9 10 + 2x + (-21 + 3x) = 9 Reorder the terms: 10 + -21 + 2x + 3x = 9 Combine like terms: 10 + -21 = -11 -11 + 2x + 3x = 9 Combine like terms: 2x + 3x = 5x -11 + 5x = 9 Solving -11 + 5x = 9 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 = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 9 + 11 5x = 9 + 11 Combine like terms: 9 + 11 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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