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Simplifying 12(x + 2y) + -8(2x + y) = 2(5x + -6y) (x * 12 + 2y * 12) + -8(2x + y) = 2(5x + -6y) (12x + 24y) + -8(2x + y) = 2(5x + -6y) 12x + 24y + (2x * -8 + y * -8) = 2(5x + -6y) 12x + 24y + (-16x + -8y) = 2(5x + -6y) Reorder the terms: 12x + -16x + 24y + -8y = 2(5x + -6y) Combine like terms: 12x + -16x = -4x -4x + 24y + -8y = 2(5x + -6y) Combine like terms: 24y + -8y = 16y -4x + 16y = 2(5x + -6y) -4x + 16y = (5x * 2 + -6y * 2) -4x + 16y = (10x + -12y) Solving -4x + 16y = 10x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4x + -10x + 16y = 10x + -10x + -12y Combine like terms: -4x + -10x = -14x -14x + 16y = 10x + -10x + -12y Combine like terms: 10x + -10x = 0 -14x + 16y = 0 + -12y -14x + 16y = -12y Add '-16y' to each side of the equation. -14x + 16y + -16y = -12y + -16y Combine like terms: 16y + -16y = 0 -14x + 0 = -12y + -16y -14x = -12y + -16y Combine like terms: -12y + -16y = -28y -14x = -28y Divide each side by '-14'. x = 2y Simplifying x = 2y
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