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Simplifying 2(x + y) + -7 = 14x + 3y (x * 2 + y * 2) + -7 = 14x + 3y (2x + 2y) + -7 = 14x + 3y Reorder the terms: -7 + 2x + 2y = 14x + 3y Solving -7 + 2x + 2y = 14x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -7 + 2x + -14x + 2y = 14x + -14x + 3y Combine like terms: 2x + -14x = -12x -7 + -12x + 2y = 14x + -14x + 3y Combine like terms: 14x + -14x = 0 -7 + -12x + 2y = 0 + 3y -7 + -12x + 2y = 3y Add '7' to each side of the equation. -7 + -12x + 7 + 2y = 7 + 3y Reorder the terms: -7 + 7 + -12x + 2y = 7 + 3y Combine like terms: -7 + 7 = 0 0 + -12x + 2y = 7 + 3y -12x + 2y = 7 + 3y Add '-2y' to each side of the equation. -12x + 2y + -2y = 7 + 3y + -2y Combine like terms: 2y + -2y = 0 -12x + 0 = 7 + 3y + -2y -12x = 7 + 3y + -2y Combine like terms: 3y + -2y = 1y -12x = 7 + 1y Divide each side by '-12'. x = -0.5833333333 + -0.08333333333y Simplifying x = -0.5833333333 + -0.08333333333y
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