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Simplifying 21 + -1(x + 7) = 8x + -4 Reorder the terms: 21 + -1(7 + x) = 8x + -4 21 + (7 * -1 + x * -1) = 8x + -4 21 + (-7 + -1x) = 8x + -4 Combine like terms: 21 + -7 = 14 14 + -1x = 8x + -4 Reorder the terms: 14 + -1x = -4 + 8x Solving 14 + -1x = -4 + 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. 14 + -1x + -8x = -4 + 8x + -8x Combine like terms: -1x + -8x = -9x 14 + -9x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -9x = -4 + 0 14 + -9x = -4 Add '-14' to each side of the equation. 14 + -14 + -9x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -4 + -14 -9x = -4 + -14 Combine like terms: -4 + -14 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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