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Simplifying 8x + -21 = -9(x + 8) Reorder the terms: -21 + 8x = -9(x + 8) Reorder the terms: -21 + 8x = -9(8 + x) -21 + 8x = (8 * -9 + x * -9) -21 + 8x = (-72 + -9x) Solving -21 + 8x = -72 + -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. -21 + 8x + 9x = -72 + -9x + 9x Combine like terms: 8x + 9x = 17x -21 + 17x = -72 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + 17x = -72 + 0 -21 + 17x = -72 Add '21' to each side of the equation. -21 + 21 + 17x = -72 + 21 Combine like terms: -21 + 21 = 0 0 + 17x = -72 + 21 17x = -72 + 21 Combine like terms: -72 + 21 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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