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Simplifying 2(2x + -5) + 3(x + 9) = 0 Reorder the terms: 2(-5 + 2x) + 3(x + 9) = 0 (-5 * 2 + 2x * 2) + 3(x + 9) = 0 (-10 + 4x) + 3(x + 9) = 0 Reorder the terms: -10 + 4x + 3(9 + x) = 0 -10 + 4x + (9 * 3 + x * 3) = 0 -10 + 4x + (27 + 3x) = 0 Reorder the terms: -10 + 27 + 4x + 3x = 0 Combine like terms: -10 + 27 = 17 17 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x 17 + 7x = 0 Solving 17 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 0 + -17 7x = 0 + -17 Combine like terms: 0 + -17 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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