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Simplifying 5(X + -30) + 3(X + -25) = 345 Reorder the terms: 5(-30 + X) + 3(X + -25) = 345 (-30 * 5 + X * 5) + 3(X + -25) = 345 (-150 + 5X) + 3(X + -25) = 345 Reorder the terms: -150 + 5X + 3(-25 + X) = 345 -150 + 5X + (-25 * 3 + X * 3) = 345 -150 + 5X + (-75 + 3X) = 345 Reorder the terms: -150 + -75 + 5X + 3X = 345 Combine like terms: -150 + -75 = -225 -225 + 5X + 3X = 345 Combine like terms: 5X + 3X = 8X -225 + 8X = 345 Solving -225 + 8X = 345 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + 8X = 345 + 225 Combine like terms: -225 + 225 = 0 0 + 8X = 345 + 225 8X = 345 + 225 Combine like terms: 345 + 225 = 570 8X = 570 Divide each side by '8'. X = 71.25 Simplifying X = 71.25
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