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Simplifying 2(x + 3y) + -3(5y + 1) + -7x = 0 (x * 2 + 3y * 2) + -3(5y + 1) + -7x = 0 (2x + 6y) + -3(5y + 1) + -7x = 0 Reorder the terms: 2x + 6y + -3(1 + 5y) + -7x = 0 2x + 6y + (1 * -3 + 5y * -3) + -7x = 0 2x + 6y + (-3 + -15y) + -7x = 0 Reorder the terms: -3 + 2x + -7x + 6y + -15y = 0 Combine like terms: 2x + -7x = -5x -3 + -5x + 6y + -15y = 0 Combine like terms: 6y + -15y = -9y -3 + -5x + -9y = 0 Solving -3 + -5x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5x + 3 + -9y = 0 + 3 Reorder the terms: -3 + 3 + -5x + -9y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x + -9y = 0 + 3 -5x + -9y = 0 + 3 Combine like terms: 0 + 3 = 3 -5x + -9y = 3 Add '9y' to each side of the equation. -5x + -9y + 9y = 3 + 9y Combine like terms: -9y + 9y = 0 -5x + 0 = 3 + 9y -5x = 3 + 9y Divide each side by '-5'. x = -0.6 + -1.8y Simplifying x = -0.6 + -1.8y
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