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