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