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Simplifying 9(x + -1) = 6(2x + -4) Reorder the terms: 9(-1 + x) = 6(2x + -4) (-1 * 9 + x * 9) = 6(2x + -4) (-9 + 9x) = 6(2x + -4) Reorder the terms: -9 + 9x = 6(-4 + 2x) -9 + 9x = (-4 * 6 + 2x * 6) -9 + 9x = (-24 + 12x) Solving -9 + 9x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 9x + -12x = -24 + 12x + -12x Combine like terms: 9x + -12x = -3x -9 + -3x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -3x = -24 + 0 -9 + -3x = -24 Add '9' to each side of the equation. -9 + 9 + -3x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -24 + 9 -3x = -24 + 9 Combine like terms: -24 + 9 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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