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Simplifying 2y + 3 + -1(6x + 9y) + x = 3 2y + 3 + (6x * -1 + 9y * -1) + x = 3 2y + 3 + (-6x + -9y) + x = 3 Reorder the terms: 3 + -6x + x + 2y + -9y = 3 Combine like terms: -6x + x = -5x 3 + -5x + 2y + -9y = 3 Combine like terms: 2y + -9y = -7y 3 + -5x + -7y = 3 Add '-3' to each side of the equation. 3 + -5x + -3 + -7y = 3 + -3 Reorder the terms: 3 + -3 + -5x + -7y = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -5x + -7y = 3 + -3 -5x + -7y = 3 + -3 Combine like terms: 3 + -3 = 0 -5x + -7y = 0 Solving -5x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. -5x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -5x + 0 = 0 + 7y -5x = 0 + 7y Remove the zero: -5x = 7y Divide each side by '-5'. x = -1.4y Simplifying x = -1.4y
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