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Simplifying 9x + -1(7x + 3) = 8x + -21 Reorder the terms: 9x + -1(3 + 7x) = 8x + -21 9x + (3 * -1 + 7x * -1) = 8x + -21 9x + (-3 + -7x) = 8x + -21 Reorder the terms: -3 + 9x + -7x = 8x + -21 Combine like terms: 9x + -7x = 2x -3 + 2x = 8x + -21 Reorder the terms: -3 + 2x = -21 + 8x Solving -3 + 2x = -21 + 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. -3 + 2x + -8x = -21 + 8x + -8x Combine like terms: 2x + -8x = -6x -3 + -6x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -6x = -21 + 0 -3 + -6x = -21 Add '3' to each side of the equation. -3 + 3 + -6x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -21 + 3 -6x = -21 + 3 Combine like terms: -21 + 3 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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