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Simplifying 3x + -1(6x + 9) = 5x + -33 Reorder the terms: 3x + -1(9 + 6x) = 5x + -33 3x + (9 * -1 + 6x * -1) = 5x + -33 3x + (-9 + -6x) = 5x + -33 Reorder the terms: -9 + 3x + -6x = 5x + -33 Combine like terms: 3x + -6x = -3x -9 + -3x = 5x + -33 Reorder the terms: -9 + -3x = -33 + 5x Solving -9 + -3x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + -3x + -5x = -33 + 5x + -5x Combine like terms: -3x + -5x = -8x -9 + -8x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -8x = -33 + 0 -9 + -8x = -33 Add '9' to each side of the equation. -9 + 9 + -8x = -33 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -33 + 9 -8x = -33 + 9 Combine like terms: -33 + 9 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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