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Simplifying 3(3x + -2) + -1(2x + -7) = 0 Reorder the terms: 3(-2 + 3x) + -1(2x + -7) = 0 (-2 * 3 + 3x * 3) + -1(2x + -7) = 0 (-6 + 9x) + -1(2x + -7) = 0 Reorder the terms: -6 + 9x + -1(-7 + 2x) = 0 -6 + 9x + (-7 * -1 + 2x * -1) = 0 -6 + 9x + (7 + -2x) = 0 Reorder the terms: -6 + 7 + 9x + -2x = 0 Combine like terms: -6 + 7 = 1 1 + 9x + -2x = 0 Combine like terms: 9x + -2x = 7x 1 + 7x = 0 Solving 1 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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