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Simplifying (5x + 7y) * 2 + 9x + -2y = (8y + 3) * 3 Reorder the terms for easier multiplication: 2(5x + 7y) + 9x + -2y = (8y + 3) * 3 (5x * 2 + 7y * 2) + 9x + -2y = (8y + 3) * 3 (10x + 14y) + 9x + -2y = (8y + 3) * 3 Reorder the terms: 10x + 9x + 14y + -2y = (8y + 3) * 3 Combine like terms: 10x + 9x = 19x 19x + 14y + -2y = (8y + 3) * 3 Combine like terms: 14y + -2y = 12y 19x + 12y = (8y + 3) * 3 Reorder the terms: 19x + 12y = (3 + 8y) * 3 Reorder the terms for easier multiplication: 19x + 12y = 3(3 + 8y) 19x + 12y = (3 * 3 + 8y * 3) 19x + 12y = (9 + 24y) Solving 19x + 12y = 9 + 24y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 19x + 12y + -12y = 9 + 24y + -12y Combine like terms: 12y + -12y = 0 19x + 0 = 9 + 24y + -12y 19x = 9 + 24y + -12y Combine like terms: 24y + -12y = 12y 19x = 9 + 12y Divide each side by '19'. x = 0.4736842105 + 0.6315789474y Simplifying x = 0.4736842105 + 0.6315789474y
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