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Simplifying (5x + 7y) * 2 + 9x + -2y = 4x(-8y + 3) * 3 Reorder the terms for easier multiplication: 2(5x + 7y) + 9x + -2y = 4x(-8y + 3) * 3 (5x * 2 + 7y * 2) + 9x + -2y = 4x(-8y + 3) * 3 (10x + 14y) + 9x + -2y = 4x(-8y + 3) * 3 Reorder the terms: 10x + 9x + 14y + -2y = 4x(-8y + 3) * 3 Combine like terms: 10x + 9x = 19x 19x + 14y + -2y = 4x(-8y + 3) * 3 Combine like terms: 14y + -2y = 12y 19x + 12y = 4x(-8y + 3) * 3 Reorder the terms: 19x + 12y = 4x(3 + -8y) * 3 Reorder the terms for easier multiplication: 19x + 12y = 4 * 3x(3 + -8y) Multiply 4 * 3 19x + 12y = 12x(3 + -8y) 19x + 12y = (3 * 12x + -8y * 12x) 19x + 12y = (36x + -96xy) Solving 19x + 12y = 36x + -96xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 19x + -36x + 12y = 36x + -36x + -96xy Combine like terms: 19x + -36x = -17x -17x + 12y = 36x + -36x + -96xy Combine like terms: 36x + -36x = 0 -17x + 12y = 0 + -96xy -17x + 12y = -96xy Add '96xy' to each side of the equation. -17x + 96xy + 12y = -96xy + 96xy Combine like terms: -96xy + 96xy = 0 -17x + 96xy + 12y = 0 Add '-12y' to each side of the equation. -17x + 96xy + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -17x + 96xy + 0 = 0 + -12y -17x + 96xy = 0 + -12y Remove the zero: -17x + 96xy = -12y Combine like terms: -12y + 12y = 0 -17x + 96xy + 12y = 0 The solution to this equation could not be determined.
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