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Simplifying 2(x + y) + -3(-2 + 3x) = 0 (x * 2 + y * 2) + -3(-2 + 3x) = 0 (2x + 2y) + -3(-2 + 3x) = 0 2x + 2y + (-2 * -3 + 3x * -3) = 0 2x + 2y + (6 + -9x) = 0 Reorder the terms: 6 + 2x + -9x + 2y = 0 Combine like terms: 2x + -9x = -7x 6 + -7x + 2y = 0 Solving 6 + -7x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -7x + -6 + 2y = 0 + -6 Reorder the terms: 6 + -6 + -7x + 2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x + 2y = 0 + -6 -7x + 2y = 0 + -6 Combine like terms: 0 + -6 = -6 -7x + 2y = -6 Add '-2y' to each side of the equation. -7x + 2y + -2y = -6 + -2y Combine like terms: 2y + -2y = 0 -7x + 0 = -6 + -2y -7x = -6 + -2y Divide each side by '-7'. x = 0.8571428571 + 0.2857142857y Simplifying x = 0.8571428571 + 0.2857142857y
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