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Simplifying -3(3x + 7) + 2(x + -7) = 0 Reorder the terms: -3(7 + 3x) + 2(x + -7) = 0 (7 * -3 + 3x * -3) + 2(x + -7) = 0 (-21 + -9x) + 2(x + -7) = 0 Reorder the terms: -21 + -9x + 2(-7 + x) = 0 -21 + -9x + (-7 * 2 + x * 2) = 0 -21 + -9x + (-14 + 2x) = 0 Reorder the terms: -21 + -14 + -9x + 2x = 0 Combine like terms: -21 + -14 = -35 -35 + -9x + 2x = 0 Combine like terms: -9x + 2x = -7x -35 + -7x = 0 Solving -35 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -7x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = 0 + 35 -7x = 0 + 35 Combine like terms: 0 + 35 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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