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Simplifying 6(x + -4) = -9(2 + -1x) Reorder the terms: 6(-4 + x) = -9(2 + -1x) (-4 * 6 + x * 6) = -9(2 + -1x) (-24 + 6x) = -9(2 + -1x) -24 + 6x = (2 * -9 + -1x * -9) -24 + 6x = (-18 + 9x) Solving -24 + 6x = -18 + 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. -24 + 6x + -9x = -18 + 9x + -9x Combine like terms: 6x + -9x = -3x -24 + -3x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + -3x = -18 + 0 -24 + -3x = -18 Add '24' to each side of the equation. -24 + 24 + -3x = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -18 + 24 -3x = -18 + 24 Combine like terms: -18 + 24 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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