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Simplifying 8x + -17 = 3x + 3(15y + -30) Reorder the terms: -17 + 8x = 3x + 3(15y + -30) Reorder the terms: -17 + 8x = 3x + 3(-30 + 15y) -17 + 8x = 3x + (-30 * 3 + 15y * 3) -17 + 8x = 3x + (-90 + 45y) Reorder the terms: -17 + 8x = -90 + 3x + 45y Solving -17 + 8x = -90 + 3x + 45y 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. -17 + 8x + -3x = -90 + 3x + -3x + 45y Combine like terms: 8x + -3x = 5x -17 + 5x = -90 + 3x + -3x + 45y Combine like terms: 3x + -3x = 0 -17 + 5x = -90 + 0 + 45y -17 + 5x = -90 + 45y Add '17' to each side of the equation. -17 + 17 + 5x = -90 + 17 + 45y Combine like terms: -17 + 17 = 0 0 + 5x = -90 + 17 + 45y 5x = -90 + 17 + 45y Combine like terms: -90 + 17 = -73 5x = -73 + 45y Divide each side by '5'. x = -14.6 + 9y Simplifying x = -14.6 + 9y
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