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Simplifying 2(x + -2) + 5(x + -9) = 0 Reorder the terms: 2(-2 + x) + 5(x + -9) = 0 (-2 * 2 + x * 2) + 5(x + -9) = 0 (-4 + 2x) + 5(x + -9) = 0 Reorder the terms: -4 + 2x + 5(-9 + x) = 0 -4 + 2x + (-9 * 5 + x * 5) = 0 -4 + 2x + (-45 + 5x) = 0 Reorder the terms: -4 + -45 + 2x + 5x = 0 Combine like terms: -4 + -45 = -49 -49 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x -49 + 7x = 0 Solving -49 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 7x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 7x = 0 + 49 7x = 0 + 49 Combine like terms: 0 + 49 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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