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Simplifying (7x + 4) + -1(2x + 9) = 0 Reorder the terms: (4 + 7x) + -1(2x + 9) = 0 Remove parenthesis around (4 + 7x) 4 + 7x + -1(2x + 9) = 0 Reorder the terms: 4 + 7x + -1(9 + 2x) = 0 4 + 7x + (9 * -1 + 2x * -1) = 0 4 + 7x + (-9 + -2x) = 0 Reorder the terms: 4 + -9 + 7x + -2x = 0 Combine like terms: 4 + -9 = -5 -5 + 7x + -2x = 0 Combine like terms: 7x + -2x = 5x -5 + 5x = 0 Solving -5 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 0 + 5 5x = 0 + 5 Combine like terms: 0 + 5 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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