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Simplifying 9x + -1(8x + 9) = 2x + -21 Reorder the terms: 9x + -1(9 + 8x) = 2x + -21 9x + (9 * -1 + 8x * -1) = 2x + -21 9x + (-9 + -8x) = 2x + -21 Reorder the terms: -9 + 9x + -8x = 2x + -21 Combine like terms: 9x + -8x = 1x -9 + 1x = 2x + -21 Reorder the terms: -9 + 1x = -21 + 2x Solving -9 + 1x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 1x + -2x = -21 + 2x + -2x Combine like terms: 1x + -2x = -1x -9 + -1x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -1x = -21 + 0 -9 + -1x = -21 Add '9' to each side of the equation. -9 + 9 + -1x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -21 + 9 -1x = -21 + 9 Combine like terms: -21 + 9 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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