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Simplifying (x + 4)(7 + 2y) = 156 Reorder the terms: (4 + x)(7 + 2y) = 156 Multiply (4 + x) * (7 + 2y) (4(7 + 2y) + x(7 + 2y)) = 156 ((7 * 4 + 2y * 4) + x(7 + 2y)) = 156 ((28 + 8y) + x(7 + 2y)) = 156 (28 + 8y + (7 * x + 2y * x)) = 156 (28 + 8y + (7x + 2xy)) = 156 Reorder the terms: (28 + 7x + 2xy + 8y) = 156 (28 + 7x + 2xy + 8y) = 156 Solving 28 + 7x + 2xy + 8y = 156 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 7x + 2xy + -28 + 8y = 156 + -28 Reorder the terms: 28 + -28 + 7x + 2xy + 8y = 156 + -28 Combine like terms: 28 + -28 = 0 0 + 7x + 2xy + 8y = 156 + -28 7x + 2xy + 8y = 156 + -28 Combine like terms: 156 + -28 = 128 7x + 2xy + 8y = 128 Add '-8y' to each side of the equation. 7x + 2xy + 8y + -8y = 128 + -8y Combine like terms: 8y + -8y = 0 7x + 2xy + 0 = 128 + -8y 7x + 2xy = 128 + -8y Reorder the terms: -128 + 7x + 2xy + 8y = 128 + -8y + -128 + 8y Reorder the terms: -128 + 7x + 2xy + 8y = 128 + -128 + -8y + 8y Combine like terms: 128 + -128 = 0 -128 + 7x + 2xy + 8y = 0 + -8y + 8y -128 + 7x + 2xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -128 + 7x + 2xy + 8y = 0 The solution to this equation could not be determined.
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