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Simplifying 6(2x + -4) = 5(x + -9) Reorder the terms: 6(-4 + 2x) = 5(x + -9) (-4 * 6 + 2x * 6) = 5(x + -9) (-24 + 12x) = 5(x + -9) Reorder the terms: -24 + 12x = 5(-9 + x) -24 + 12x = (-9 * 5 + x * 5) -24 + 12x = (-45 + 5x) Solving -24 + 12x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 12x + -5x = -45 + 5x + -5x Combine like terms: 12x + -5x = 7x -24 + 7x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 7x = -45 + 0 -24 + 7x = -45 Add '24' to each side of the equation. -24 + 24 + 7x = -45 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -45 + 24 7x = -45 + 24 Combine like terms: -45 + 24 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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