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Simplifying 4x + 3(x + 2) + -2(y + -6) = 0 Reorder the terms: 4x + 3(2 + x) + -2(y + -6) = 0 4x + (2 * 3 + x * 3) + -2(y + -6) = 0 4x + (6 + 3x) + -2(y + -6) = 0 Reorder the terms: 4x + 6 + 3x + -2(-6 + y) = 0 4x + 6 + 3x + (-6 * -2 + y * -2) = 0 4x + 6 + 3x + (12 + -2y) = 0 Reorder the terms: 6 + 12 + 4x + 3x + -2y = 0 Combine like terms: 6 + 12 = 18 18 + 4x + 3x + -2y = 0 Combine like terms: 4x + 3x = 7x 18 + 7x + -2y = 0 Solving 18 + 7x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 7x + -18 + -2y = 0 + -18 Reorder the terms: 18 + -18 + 7x + -2y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7x + -2y = 0 + -18 7x + -2y = 0 + -18 Combine like terms: 0 + -18 = -18 7x + -2y = -18 Add '2y' to each side of the equation. 7x + -2y + 2y = -18 + 2y Combine like terms: -2y + 2y = 0 7x + 0 = -18 + 2y 7x = -18 + 2y Divide each side by '7'. x = -2.571428571 + 0.2857142857y Simplifying x = -2.571428571 + 0.2857142857y
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