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Simplifying 5(6x + -9) = 5(9 + -6x) Reorder the terms: 5(-9 + 6x) = 5(9 + -6x) (-9 * 5 + 6x * 5) = 5(9 + -6x) (-45 + 30x) = 5(9 + -6x) -45 + 30x = (9 * 5 + -6x * 5) -45 + 30x = (45 + -30x) Solving -45 + 30x = 45 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -45 + 30x + 30x = 45 + -30x + 30x Combine like terms: 30x + 30x = 60x -45 + 60x = 45 + -30x + 30x Combine like terms: -30x + 30x = 0 -45 + 60x = 45 + 0 -45 + 60x = 45 Add '45' to each side of the equation. -45 + 45 + 60x = 45 + 45 Combine like terms: -45 + 45 = 0 0 + 60x = 45 + 45 60x = 45 + 45 Combine like terms: 45 + 45 = 90 60x = 90 Divide each side by '60'. x = 1.5 Simplifying x = 1.5
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