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Simplifying 2y + 3 + -0.33(6x + 9y) + x = 3 2y + 3 + (6x * -0.33 + 9y * -0.33) + x = 3 2y + 3 + (-1.98x + -2.97y) + x = 3 Reorder the terms: 3 + -1.98x + x + 2y + -2.97y = 3 Combine like terms: -1.98x + x = -0.98x 3 + -0.98x + 2y + -2.97y = 3 Combine like terms: 2y + -2.97y = -0.97y 3 + -0.98x + -0.97y = 3 Add '-3' to each side of the equation. 3 + -0.98x + -3 + -0.97y = 3 + -3 Reorder the terms: 3 + -3 + -0.98x + -0.97y = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -0.98x + -0.97y = 3 + -3 -0.98x + -0.97y = 3 + -3 Combine like terms: 3 + -3 = 0 -0.98x + -0.97y = 0 Solving -0.98x + -0.97y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.97y' to each side of the equation. -0.98x + -0.97y + 0.97y = 0 + 0.97y Combine like terms: -0.97y + 0.97y = 0.00 -0.98x + 0.00 = 0 + 0.97y -0.98x = 0 + 0.97y Remove the zero: -0.98x = 0.97y Divide each side by '-0.98'. x = -0.9897959184y Simplifying x = -0.9897959184y
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