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Simplifying 9(x + -1) = 3x + 33 Reorder the terms: 9(-1 + x) = 3x + 33 (-1 * 9 + x * 9) = 3x + 33 (-9 + 9x) = 3x + 33 Reorder the terms: -9 + 9x = 33 + 3x Solving -9 + 9x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 9x + -3x = 33 + 3x + -3x Combine like terms: 9x + -3x = 6x -9 + 6x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 6x = 33 + 0 -9 + 6x = 33 Add '9' to each side of the equation. -9 + 9 + 6x = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 33 + 9 6x = 33 + 9 Combine like terms: 33 + 9 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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