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Simplifying 2(3x + -1y) = 5x + 7 (3x * 2 + -1y * 2) = 5x + 7 (6x + -2y) = 5x + 7 Reorder the terms: 6x + -2y = 7 + 5x Solving 6x + -2y = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6x + -5x + -2y = 7 + 5x + -5x Combine like terms: 6x + -5x = 1x 1x + -2y = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 1x + -2y = 7 + 0 1x + -2y = 7 Add '2y' to each side of the equation. 1x + -2y + 2y = 7 + 2y Combine like terms: -2y + 2y = 0 1x + 0 = 7 + 2y 1x = 7 + 2y Divide each side by '1'. x = 7 + 2y Simplifying x = 7 + 2y
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