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Simplifying 5(2x + -9) = 3(9 + -2x) Reorder the terms: 5(-9 + 2x) = 3(9 + -2x) (-9 * 5 + 2x * 5) = 3(9 + -2x) (-45 + 10x) = 3(9 + -2x) -45 + 10x = (9 * 3 + -2x * 3) -45 + 10x = (27 + -6x) Solving -45 + 10x = 27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -45 + 10x + 6x = 27 + -6x + 6x Combine like terms: 10x + 6x = 16x -45 + 16x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -45 + 16x = 27 + 0 -45 + 16x = 27 Add '45' to each side of the equation. -45 + 45 + 16x = 27 + 45 Combine like terms: -45 + 45 = 0 0 + 16x = 27 + 45 16x = 27 + 45 Combine like terms: 27 + 45 = 72 16x = 72 Divide each side by '16'. x = 4.5 Simplifying x = 4.5
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