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Simplifying 3(x + -6y) + -2(-2x + 5) = 0 (x * 3 + -6y * 3) + -2(-2x + 5) = 0 (3x + -18y) + -2(-2x + 5) = 0 Reorder the terms: 3x + -18y + -2(5 + -2x) = 0 3x + -18y + (5 * -2 + -2x * -2) = 0 3x + -18y + (-10 + 4x) = 0 Reorder the terms: -10 + 3x + 4x + -18y = 0 Combine like terms: 3x + 4x = 7x -10 + 7x + -18y = 0 Solving -10 + 7x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 7x + 10 + -18y = 0 + 10 Reorder the terms: -10 + 10 + 7x + -18y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7x + -18y = 0 + 10 7x + -18y = 0 + 10 Combine like terms: 0 + 10 = 10 7x + -18y = 10 Add '18y' to each side of the equation. 7x + -18y + 18y = 10 + 18y Combine like terms: -18y + 18y = 0 7x + 0 = 10 + 18y 7x = 10 + 18y Divide each side by '7'. x = 1.428571429 + 2.571428571y Simplifying x = 1.428571429 + 2.571428571y
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