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Simplifying 3(42x + -3) + 32y(4 + 7x) = 12 Reorder the terms: 3(-3 + 42x) + 32y(4 + 7x) = 12 (-3 * 3 + 42x * 3) + 32y(4 + 7x) = 12 (-9 + 126x) + 32y(4 + 7x) = 12 -9 + 126x + (4 * 32y + 7x * 32y) = 12 Reorder the terms: -9 + 126x + (224xy + 128y) = 12 -9 + 126x + (224xy + 128y) = 12 Solving -9 + 126x + 224xy + 128y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 126x + 224xy + 9 + 128y = 12 + 9 Reorder the terms: -9 + 9 + 126x + 224xy + 128y = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 126x + 224xy + 128y = 12 + 9 126x + 224xy + 128y = 12 + 9 Combine like terms: 12 + 9 = 21 126x + 224xy + 128y = 21 Add '-128y' to each side of the equation. 126x + 224xy + 128y + -128y = 21 + -128y Combine like terms: 128y + -128y = 0 126x + 224xy + 0 = 21 + -128y 126x + 224xy = 21 + -128y Reorder the terms: -21 + 126x + 224xy + 128y = 21 + -128y + -21 + 128y Reorder the terms: -21 + 126x + 224xy + 128y = 21 + -21 + -128y + 128y Combine like terms: 21 + -21 = 0 -21 + 126x + 224xy + 128y = 0 + -128y + 128y -21 + 126x + 224xy + 128y = -128y + 128y Combine like terms: -128y + 128y = 0 -21 + 126x + 224xy + 128y = 0 The solution to this equation could not be determined.
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