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Simplifying 6 + 4x + -7 = -8x + 7 + -12(x + y) Reorder the terms: 6 + -7 + 4x = -8x + 7 + -12(x + y) Combine like terms: 6 + -7 = -1 -1 + 4x = -8x + 7 + -12(x + y) -1 + 4x = -8x + 7 + (x * -12 + y * -12) -1 + 4x = -8x + 7 + (-12x + -12y) Reorder the terms: -1 + 4x = 7 + -8x + -12x + -12y Combine like terms: -8x + -12x = -20x -1 + 4x = 7 + -20x + -12y Solving -1 + 4x = 7 + -20x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -1 + 4x + 20x = 7 + -20x + 20x + -12y Combine like terms: 4x + 20x = 24x -1 + 24x = 7 + -20x + 20x + -12y Combine like terms: -20x + 20x = 0 -1 + 24x = 7 + 0 + -12y -1 + 24x = 7 + -12y Add '1' to each side of the equation. -1 + 1 + 24x = 7 + 1 + -12y Combine like terms: -1 + 1 = 0 0 + 24x = 7 + 1 + -12y 24x = 7 + 1 + -12y Combine like terms: 7 + 1 = 8 24x = 8 + -12y Divide each side by '24'. x = 0.3333333333 + -0.5y Simplifying x = 0.3333333333 + -0.5y
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