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Simplifying 5(x + -7) + 4(x + 2) = 0 Reorder the terms: 5(-7 + x) + 4(x + 2) = 0 (-7 * 5 + x * 5) + 4(x + 2) = 0 (-35 + 5x) + 4(x + 2) = 0 Reorder the terms: -35 + 5x + 4(2 + x) = 0 -35 + 5x + (2 * 4 + x * 4) = 0 -35 + 5x + (8 + 4x) = 0 Reorder the terms: -35 + 8 + 5x + 4x = 0 Combine like terms: -35 + 8 = -27 -27 + 5x + 4x = 0 Combine like terms: 5x + 4x = 9x -27 + 9x = 0 Solving -27 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 9x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 0 + 27 9x = 0 + 27 Combine like terms: 0 + 27 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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