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Simplifying 2(x + -5) + 3(x + 7) = 0 Reorder the terms: 2(-5 + x) + 3(x + 7) = 0 (-5 * 2 + x * 2) + 3(x + 7) = 0 (-10 + 2x) + 3(x + 7) = 0 Reorder the terms: -10 + 2x + 3(7 + x) = 0 -10 + 2x + (7 * 3 + x * 3) = 0 -10 + 2x + (21 + 3x) = 0 Reorder the terms: -10 + 21 + 2x + 3x = 0 Combine like terms: -10 + 21 = 11 11 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 11 + 5x = 0 Solving 11 + 5x = 0 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 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2
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