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Simplifying 3x + -4(9 + -2y) + 5x = 2y + 3(x + -1y) 3x + (9 * -4 + -2y * -4) + 5x = 2y + 3(x + -1y) 3x + (-36 + 8y) + 5x = 2y + 3(x + -1y) Reorder the terms: -36 + 3x + 5x + 8y = 2y + 3(x + -1y) Combine like terms: 3x + 5x = 8x -36 + 8x + 8y = 2y + 3(x + -1y) -36 + 8x + 8y = 2y + (x * 3 + -1y * 3) -36 + 8x + 8y = 2y + (3x + -3y) Reorder the terms: -36 + 8x + 8y = 3x + 2y + -3y Combine like terms: 2y + -3y = -1y -36 + 8x + 8y = 3x + -1y Solving -36 + 8x + 8y = 3x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 8x + -3x + 8y = 3x + -3x + -1y Combine like terms: 8x + -3x = 5x -36 + 5x + 8y = 3x + -3x + -1y Combine like terms: 3x + -3x = 0 -36 + 5x + 8y = 0 + -1y -36 + 5x + 8y = -1y Add '36' to each side of the equation. -36 + 5x + 36 + 8y = 36 + -1y Reorder the terms: -36 + 36 + 5x + 8y = 36 + -1y Combine like terms: -36 + 36 = 0 0 + 5x + 8y = 36 + -1y 5x + 8y = 36 + -1y Add '-8y' to each side of the equation. 5x + 8y + -8y = 36 + -1y + -8y Combine like terms: 8y + -8y = 0 5x + 0 = 36 + -1y + -8y 5x = 36 + -1y + -8y Combine like terms: -1y + -8y = -9y 5x = 36 + -9y Divide each side by '5'. x = 7.2 + -1.8y Simplifying x = 7.2 + -1.8y
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