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