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Simplifying -8(x + 4) = -9(x + 6) Reorder the terms: -8(4 + x) = -9(x + 6) (4 * -8 + x * -8) = -9(x + 6) (-32 + -8x) = -9(x + 6) Reorder the terms: -32 + -8x = -9(6 + x) -32 + -8x = (6 * -9 + x * -9) -32 + -8x = (-54 + -9x) Solving -32 + -8x = -54 + -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. -32 + -8x + 9x = -54 + -9x + 9x Combine like terms: -8x + 9x = 1x -32 + 1x = -54 + -9x + 9x Combine like terms: -9x + 9x = 0 -32 + 1x = -54 + 0 -32 + 1x = -54 Add '32' to each side of the equation. -32 + 32 + 1x = -54 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -54 + 32 1x = -54 + 32 Combine like terms: -54 + 32 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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