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Simplifying -9 = -2x + 7[-4x + 33] Reorder the terms: -9 = -2x + 7[33 + -4x] -9 = -2x + [33 * 7 + -4x * 7] -9 = -2x + [231 + -28x] Reorder the terms: -9 = 231 + -2x + -28x Combine like terms: -2x + -28x = -30x -9 = 231 + -30x Solving -9 = 231 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -9 + 30x = 231 + -30x + 30x Combine like terms: -30x + 30x = 0 -9 + 30x = 231 + 0 -9 + 30x = 231 Add '9' to each side of the equation. -9 + 9 + 30x = 231 + 9 Combine like terms: -9 + 9 = 0 0 + 30x = 231 + 9 30x = 231 + 9 Combine like terms: 231 + 9 = 240 30x = 240 Divide each side by '30'. x = 8 Simplifying x = 8
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