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Simplifying 7(1 + -3x) + 4(3x + -7) = -9 (1 * 7 + -3x * 7) + 4(3x + -7) = -9 (7 + -21x) + 4(3x + -7) = -9 Reorder the terms: 7 + -21x + 4(-7 + 3x) = -9 7 + -21x + (-7 * 4 + 3x * 4) = -9 7 + -21x + (-28 + 12x) = -9 Reorder the terms: 7 + -28 + -21x + 12x = -9 Combine like terms: 7 + -28 = -21 -21 + -21x + 12x = -9 Combine like terms: -21x + 12x = -9x -21 + -9x = -9 Solving -21 + -9x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -9x = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = -9 + 21 -9x = -9 + 21 Combine like terms: -9 + 21 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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