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Simplifying (3x + 7) + -1(5x + -9) = 0 Reorder the terms: (7 + 3x) + -1(5x + -9) = 0 Remove parenthesis around (7 + 3x) 7 + 3x + -1(5x + -9) = 0 Reorder the terms: 7 + 3x + -1(-9 + 5x) = 0 7 + 3x + (-9 * -1 + 5x * -1) = 0 7 + 3x + (9 + -5x) = 0 Reorder the terms: 7 + 9 + 3x + -5x = 0 Combine like terms: 7 + 9 = 16 16 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 16 + -2x = 0 Solving 16 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 0 + -16 -2x = 0 + -16 Combine like terms: 0 + -16 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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