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