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Simplifying -9x + 7(3x + -7) = -30 + -7x Reorder the terms: -9x + 7(-7 + 3x) = -30 + -7x -9x + (-7 * 7 + 3x * 7) = -30 + -7x -9x + (-49 + 21x) = -30 + -7x Reorder the terms: -49 + -9x + 21x = -30 + -7x Combine like terms: -9x + 21x = 12x -49 + 12x = -30 + -7x Solving -49 + 12x = -30 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -49 + 12x + 7x = -30 + -7x + 7x Combine like terms: 12x + 7x = 19x -49 + 19x = -30 + -7x + 7x Combine like terms: -7x + 7x = 0 -49 + 19x = -30 + 0 -49 + 19x = -30 Add '49' to each side of the equation. -49 + 49 + 19x = -30 + 49 Combine like terms: -49 + 49 = 0 0 + 19x = -30 + 49 19x = -30 + 49 Combine like terms: -30 + 49 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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