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Simplifying 3x + -4 + 2(2y + 8x) = 2y + -4 + 11x Reorder the terms: 3x + -4 + 2(8x + 2y) = 2y + -4 + 11x 3x + -4 + (8x * 2 + 2y * 2) = 2y + -4 + 11x 3x + -4 + (16x + 4y) = 2y + -4 + 11x Reorder the terms: -4 + 3x + 16x + 4y = 2y + -4 + 11x Combine like terms: 3x + 16x = 19x -4 + 19x + 4y = 2y + -4 + 11x Reorder the terms: -4 + 19x + 4y = -4 + 11x + 2y Add '4' to each side of the equation. -4 + 19x + 4 + 4y = -4 + 11x + 4 + 2y Reorder the terms: -4 + 4 + 19x + 4y = -4 + 11x + 4 + 2y Combine like terms: -4 + 4 = 0 0 + 19x + 4y = -4 + 11x + 4 + 2y 19x + 4y = -4 + 11x + 4 + 2y Reorder the terms: 19x + 4y = -4 + 4 + 11x + 2y Combine like terms: -4 + 4 = 0 19x + 4y = 0 + 11x + 2y 19x + 4y = 11x + 2y Solving 19x + 4y = 11x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 19x + -11x + 4y = 11x + -11x + 2y Combine like terms: 19x + -11x = 8x 8x + 4y = 11x + -11x + 2y Combine like terms: 11x + -11x = 0 8x + 4y = 0 + 2y 8x + 4y = 2y Add '-4y' to each side of the equation. 8x + 4y + -4y = 2y + -4y Combine like terms: 4y + -4y = 0 8x + 0 = 2y + -4y 8x = 2y + -4y Combine like terms: 2y + -4y = -2y 8x = -2y Divide each side by '8'. x = -0.25y Simplifying x = -0.25y
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