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Simplifying 21 + -1(x + -9) = 8x + -6 Reorder the terms: 21 + -1(-9 + x) = 8x + -6 21 + (-9 * -1 + x * -1) = 8x + -6 21 + (9 + -1x) = 8x + -6 Combine like terms: 21 + 9 = 30 30 + -1x = 8x + -6 Reorder the terms: 30 + -1x = -6 + 8x Solving 30 + -1x = -6 + 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. 30 + -1x + -8x = -6 + 8x + -8x Combine like terms: -1x + -8x = -9x 30 + -9x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -9x = -6 + 0 30 + -9x = -6 Add '-30' to each side of the equation. 30 + -30 + -9x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = -6 + -30 -9x = -6 + -30 Combine like terms: -6 + -30 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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