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Simplifying 6x + -2(5y + 2) = -7(2y + -1) + -4 Reorder the terms: 6x + -2(2 + 5y) = -7(2y + -1) + -4 6x + (2 * -2 + 5y * -2) = -7(2y + -1) + -4 6x + (-4 + -10y) = -7(2y + -1) + -4 Reorder the terms: -4 + 6x + -10y = -7(2y + -1) + -4 Reorder the terms: -4 + 6x + -10y = -7(-1 + 2y) + -4 -4 + 6x + -10y = (-1 * -7 + 2y * -7) + -4 -4 + 6x + -10y = (7 + -14y) + -4 Reorder the terms: -4 + 6x + -10y = 7 + -4 + -14y Combine like terms: 7 + -4 = 3 -4 + 6x + -10y = 3 + -14y Solving -4 + 6x + -10y = 3 + -14y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6x + 4 + -10y = 3 + 4 + -14y Reorder the terms: -4 + 4 + 6x + -10y = 3 + 4 + -14y Combine like terms: -4 + 4 = 0 0 + 6x + -10y = 3 + 4 + -14y 6x + -10y = 3 + 4 + -14y Combine like terms: 3 + 4 = 7 6x + -10y = 7 + -14y Add '10y' to each side of the equation. 6x + -10y + 10y = 7 + -14y + 10y Combine like terms: -10y + 10y = 0 6x + 0 = 7 + -14y + 10y 6x = 7 + -14y + 10y Combine like terms: -14y + 10y = -4y 6x = 7 + -4y Divide each side by '6'. x = 1.166666667 + -0.6666666667y Simplifying x = 1.166666667 + -0.6666666667y
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