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Simplifying (-3x + 7) + -1(6x + -9) = 0 Reorder the terms: (7 + -3x) + -1(6x + -9) = 0 Remove parenthesis around (7 + -3x) 7 + -3x + -1(6x + -9) = 0 Reorder the terms: 7 + -3x + -1(-9 + 6x) = 0 7 + -3x + (-9 * -1 + 6x * -1) = 0 7 + -3x + (9 + -6x) = 0 Reorder the terms: 7 + 9 + -3x + -6x = 0 Combine like terms: 7 + 9 = 16 16 + -3x + -6x = 0 Combine like terms: -3x + -6x = -9x 16 + -9x = 0 Solving 16 + -9x = 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 + -9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 0 + -16 -9x = 0 + -16 Combine like terms: 0 + -16 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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