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Simplifying 7x + -3(3x + -2y) = 5x + -24 7x + (3x * -3 + -2y * -3) = 5x + -24 7x + (-9x + 6y) = 5x + -24 Combine like terms: 7x + -9x = -2x -2x + 6y = 5x + -24 Reorder the terms: -2x + 6y = -24 + 5x Solving -2x + 6y = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2x + -5x + 6y = -24 + 5x + -5x Combine like terms: -2x + -5x = -7x -7x + 6y = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -7x + 6y = -24 + 0 -7x + 6y = -24 Add '-6y' to each side of the equation. -7x + 6y + -6y = -24 + -6y Combine like terms: 6y + -6y = 0 -7x + 0 = -24 + -6y -7x = -24 + -6y Divide each side by '-7'. x = 3.428571429 + 0.8571428571y Simplifying x = 3.428571429 + 0.8571428571y
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