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Simplifying 47x + -20 + -8y = 12 + 39x + -32 Reorder the terms: -20 + 47x + -8y = 12 + 39x + -32 Reorder the terms: -20 + 47x + -8y = 12 + -32 + 39x Combine like terms: 12 + -32 = -20 -20 + 47x + -8y = -20 + 39x Add '20' to each side of the equation. -20 + 47x + 20 + -8y = -20 + 20 + 39x Reorder the terms: -20 + 20 + 47x + -8y = -20 + 20 + 39x Combine like terms: -20 + 20 = 0 0 + 47x + -8y = -20 + 20 + 39x 47x + -8y = -20 + 20 + 39x Combine like terms: -20 + 20 = 0 47x + -8y = 0 + 39x 47x + -8y = 39x Solving 47x + -8y = 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 47x + -39x + -8y = 39x + -39x Combine like terms: 47x + -39x = 8x 8x + -8y = 39x + -39x Combine like terms: 39x + -39x = 0 8x + -8y = 0 Add '8y' to each side of the equation. 8x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 8x + 0 = 0 + 8y 8x = 0 + 8y Remove the zero: 8x = 8y Divide each side by '8'. x = y Simplifying x = y
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