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Simplifying 6x + -9 = -3(x + 8) + -21 Reorder the terms: -9 + 6x = -3(x + 8) + -21 Reorder the terms: -9 + 6x = -3(8 + x) + -21 -9 + 6x = (8 * -3 + x * -3) + -21 -9 + 6x = (-24 + -3x) + -21 Reorder the terms: -9 + 6x = -24 + -21 + -3x Combine like terms: -24 + -21 = -45 -9 + 6x = -45 + -3x Solving -9 + 6x = -45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 6x + 3x = -45 + -3x + 3x Combine like terms: 6x + 3x = 9x -9 + 9x = -45 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 9x = -45 + 0 -9 + 9x = -45 Add '9' to each side of the equation. -9 + 9 + 9x = -45 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = -45 + 9 9x = -45 + 9 Combine like terms: -45 + 9 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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