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Simplifying 4y + -7(5x + -8) = 3x + 11(2y + -1) Reorder the terms: 4y + -7(-8 + 5x) = 3x + 11(2y + -1) 4y + (-8 * -7 + 5x * -7) = 3x + 11(2y + -1) 4y + (56 + -35x) = 3x + 11(2y + -1) Reorder the terms: 56 + -35x + 4y = 3x + 11(2y + -1) Reorder the terms: 56 + -35x + 4y = 3x + 11(-1 + 2y) 56 + -35x + 4y = 3x + (-1 * 11 + 2y * 11) 56 + -35x + 4y = 3x + (-11 + 22y) Reorder the terms: 56 + -35x + 4y = -11 + 3x + 22y Solving 56 + -35x + 4y = -11 + 3x + 22y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 56 + -35x + -3x + 4y = -11 + 3x + -3x + 22y Combine like terms: -35x + -3x = -38x 56 + -38x + 4y = -11 + 3x + -3x + 22y Combine like terms: 3x + -3x = 0 56 + -38x + 4y = -11 + 0 + 22y 56 + -38x + 4y = -11 + 22y Add '-56' to each side of the equation. 56 + -38x + -56 + 4y = -11 + -56 + 22y Reorder the terms: 56 + -56 + -38x + 4y = -11 + -56 + 22y Combine like terms: 56 + -56 = 0 0 + -38x + 4y = -11 + -56 + 22y -38x + 4y = -11 + -56 + 22y Combine like terms: -11 + -56 = -67 -38x + 4y = -67 + 22y Add '-4y' to each side of the equation. -38x + 4y + -4y = -67 + 22y + -4y Combine like terms: 4y + -4y = 0 -38x + 0 = -67 + 22y + -4y -38x = -67 + 22y + -4y Combine like terms: 22y + -4y = 18y -38x = -67 + 18y Divide each side by '-38'. x = 1.763157895 + -0.4736842105y Simplifying x = 1.763157895 + -0.4736842105y
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