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Simplifying 4x + 3(x + -2) + -4(y + -2) = 0 Reorder the terms: 4x + 3(-2 + x) + -4(y + -2) = 0 4x + (-2 * 3 + x * 3) + -4(y + -2) = 0 4x + (-6 + 3x) + -4(y + -2) = 0 Reorder the terms: 4x + -6 + 3x + -4(-2 + y) = 0 4x + -6 + 3x + (-2 * -4 + y * -4) = 0 4x + -6 + 3x + (8 + -4y) = 0 Reorder the terms: -6 + 8 + 4x + 3x + -4y = 0 Combine like terms: -6 + 8 = 2 2 + 4x + 3x + -4y = 0 Combine like terms: 4x + 3x = 7x 2 + 7x + -4y = 0 Solving 2 + 7x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7x + -2 + -4y = 0 + -2 Reorder the terms: 2 + -2 + 7x + -4y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x + -4y = 0 + -2 7x + -4y = 0 + -2 Combine like terms: 0 + -2 = -2 7x + -4y = -2 Add '4y' to each side of the equation. 7x + -4y + 4y = -2 + 4y Combine like terms: -4y + 4y = 0 7x + 0 = -2 + 4y 7x = -2 + 4y Divide each side by '7'. x = -0.2857142857 + 0.5714285714y Simplifying x = -0.2857142857 + 0.5714285714y
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