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Simplifying 6(x + 2) = 5(x + -1y) Reorder the terms: 6(2 + x) = 5(x + -1y) (2 * 6 + x * 6) = 5(x + -1y) (12 + 6x) = 5(x + -1y) 12 + 6x = (x * 5 + -1y * 5) 12 + 6x = (5x + -5y) Solving 12 + 6x = 5x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 6x + -5x = 5x + -5x + -5y Combine like terms: 6x + -5x = 1x 12 + 1x = 5x + -5x + -5y Combine like terms: 5x + -5x = 0 12 + 1x = 0 + -5y 12 + 1x = -5y Add '-12' to each side of the equation. 12 + -12 + 1x = -12 + -5y Combine like terms: 12 + -12 = 0 0 + 1x = -12 + -5y 1x = -12 + -5y Divide each side by '1'. x = -12 + -5y Simplifying x = -12 + -5y
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