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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 = -31 -31 + 2x + 3x = 9 Combine like terms: 2x + 3x = 5x -31 + 5x = 9 Solving -31 + 5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 5x = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 9 + 31 5x = 9 + 31 Combine like terms: 9 + 31 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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