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Simplifying 5(6x + -81) = -3(15 + 5x) Reorder the terms: 5(-81 + 6x) = -3(15 + 5x) (-81 * 5 + 6x * 5) = -3(15 + 5x) (-405 + 30x) = -3(15 + 5x) -405 + 30x = (15 * -3 + 5x * -3) -405 + 30x = (-45 + -15x) Solving -405 + 30x = -45 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -405 + 30x + 15x = -45 + -15x + 15x Combine like terms: 30x + 15x = 45x -405 + 45x = -45 + -15x + 15x Combine like terms: -15x + 15x = 0 -405 + 45x = -45 + 0 -405 + 45x = -45 Add '405' to each side of the equation. -405 + 405 + 45x = -45 + 405 Combine like terms: -405 + 405 = 0 0 + 45x = -45 + 405 45x = -45 + 405 Combine like terms: -45 + 405 = 360 45x = 360 Divide each side by '45'. x = 8 Simplifying x = 8
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