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Simplifying (-2x + 7) + -1(-4x + 9) = 0 Reorder the terms: (7 + -2x) + -1(-4x + 9) = 0 Remove parenthesis around (7 + -2x) 7 + -2x + -1(-4x + 9) = 0 Reorder the terms: 7 + -2x + -1(9 + -4x) = 0 7 + -2x + (9 * -1 + -4x * -1) = 0 7 + -2x + (-9 + 4x) = 0 Reorder the terms: 7 + -9 + -2x + 4x = 0 Combine like terms: 7 + -9 = -2 -2 + -2x + 4x = 0 Combine like terms: -2x + 4x = 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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