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Simplifying 3(x + 2y) + 5(3 + -5x) = 0 (x * 3 + 2y * 3) + 5(3 + -5x) = 0 (3x + 6y) + 5(3 + -5x) = 0 3x + 6y + (3 * 5 + -5x * 5) = 0 3x + 6y + (15 + -25x) = 0 Reorder the terms: 15 + 3x + -25x + 6y = 0 Combine like terms: 3x + -25x = -22x 15 + -22x + 6y = 0 Solving 15 + -22x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -22x + -15 + 6y = 0 + -15 Reorder the terms: 15 + -15 + -22x + 6y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -22x + 6y = 0 + -15 -22x + 6y = 0 + -15 Combine like terms: 0 + -15 = -15 -22x + 6y = -15 Add '-6y' to each side of the equation. -22x + 6y + -6y = -15 + -6y Combine like terms: 6y + -6y = 0 -22x + 0 = -15 + -6y -22x = -15 + -6y Divide each side by '-22'. x = 0.6818181818 + 0.2727272727y Simplifying x = 0.6818181818 + 0.2727272727y
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