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Simplifying -5(x + 6) = -8x + -9 Reorder the terms: -5(6 + x) = -8x + -9 (6 * -5 + x * -5) = -8x + -9 (-30 + -5x) = -8x + -9 Reorder the terms: -30 + -5x = -9 + -8x Solving -30 + -5x = -9 + -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 + -5x + 8x = -9 + -8x + 8x Combine like terms: -5x + 8x = 3x -30 + 3x = -9 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 3x = -9 + 0 -30 + 3x = -9 Add '30' to each side of the equation. -30 + 30 + 3x = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -9 + 30 3x = -9 + 30 Combine like terms: -9 + 30 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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