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Simplifying 4(3x + -2y) + -3(5x + -9y) = 25x + -75 (3x * 4 + -2y * 4) + -3(5x + -9y) = 25x + -75 (12x + -8y) + -3(5x + -9y) = 25x + -75 12x + -8y + (5x * -3 + -9y * -3) = 25x + -75 12x + -8y + (-15x + 27y) = 25x + -75 Reorder the terms: 12x + -15x + -8y + 27y = 25x + -75 Combine like terms: 12x + -15x = -3x -3x + -8y + 27y = 25x + -75 Combine like terms: -8y + 27y = 19y -3x + 19y = 25x + -75 Reorder the terms: -3x + 19y = -75 + 25x Solving -3x + 19y = -75 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -3x + -25x + 19y = -75 + 25x + -25x Combine like terms: -3x + -25x = -28x -28x + 19y = -75 + 25x + -25x Combine like terms: 25x + -25x = 0 -28x + 19y = -75 + 0 -28x + 19y = -75 Add '-19y' to each side of the equation. -28x + 19y + -19y = -75 + -19y Combine like terms: 19y + -19y = 0 -28x + 0 = -75 + -19y -28x = -75 + -19y Divide each side by '-28'. x = 2.678571429 + 0.6785714286y Simplifying x = 2.678571429 + 0.6785714286y
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