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Simplifying -4X + -8y + 32 = 3X + 2y + 4 Reorder the terms: 32 + -4X + -8y = 3X + 2y + 4 Reorder the terms: 32 + -4X + -8y = 4 + 3X + 2y Solving 32 + -4X + -8y = 4 + 3X + 2y 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. 32 + -4X + -3X + -8y = 4 + 3X + -3X + 2y Combine like terms: -4X + -3X = -7X 32 + -7X + -8y = 4 + 3X + -3X + 2y Combine like terms: 3X + -3X = 0 32 + -7X + -8y = 4 + 0 + 2y 32 + -7X + -8y = 4 + 2y Add '-32' to each side of the equation. 32 + -7X + -32 + -8y = 4 + -32 + 2y Reorder the terms: 32 + -32 + -7X + -8y = 4 + -32 + 2y Combine like terms: 32 + -32 = 0 0 + -7X + -8y = 4 + -32 + 2y -7X + -8y = 4 + -32 + 2y Combine like terms: 4 + -32 = -28 -7X + -8y = -28 + 2y Add '8y' to each side of the equation. -7X + -8y + 8y = -28 + 2y + 8y Combine like terms: -8y + 8y = 0 -7X + 0 = -28 + 2y + 8y -7X = -28 + 2y + 8y Combine like terms: 2y + 8y = 10y -7X = -28 + 10y Divide each side by '-7'. X = 4 + -1.428571429y Simplifying X = 4 + -1.428571429y
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