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Simplifying (-4x + 9) + -1(3x + 2) = 0 Reorder the terms: (9 + -4x) + -1(3x + 2) = 0 Remove parenthesis around (9 + -4x) 9 + -4x + -1(3x + 2) = 0 Reorder the terms: 9 + -4x + -1(2 + 3x) = 0 9 + -4x + (2 * -1 + 3x * -1) = 0 9 + -4x + (-2 + -3x) = 0 Reorder the terms: 9 + -2 + -4x + -3x = 0 Combine like terms: 9 + -2 = 7 7 + -4x + -3x = 0 Combine like terms: -4x + -3x = -7x 7 + -7x = 0 Solving 7 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 0 + -7 -7x = 0 + -7 Combine like terms: 0 + -7 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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