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Simplifying 21 + -1(x + 9) = 9x + -8 Reorder the terms: 21 + -1(9 + x) = 9x + -8 21 + (9 * -1 + x * -1) = 9x + -8 21 + (-9 + -1x) = 9x + -8 Combine like terms: 21 + -9 = 12 12 + -1x = 9x + -8 Reorder the terms: 12 + -1x = -8 + 9x Solving 12 + -1x = -8 + 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. 12 + -1x + -9x = -8 + 9x + -9x Combine like terms: -1x + -9x = -10x 12 + -10x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -10x = -8 + 0 12 + -10x = -8 Add '-12' to each side of the equation. 12 + -12 + -10x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -8 + -12 -10x = -8 + -12 Combine like terms: -8 + -12 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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