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Simplifying 6(x + -2y) = 2(5x + 6) (x * 6 + -2y * 6) = 2(5x + 6) (6x + -12y) = 2(5x + 6) Reorder the terms: 6x + -12y = 2(6 + 5x) 6x + -12y = (6 * 2 + 5x * 2) 6x + -12y = (12 + 10x) Solving 6x + -12y = 12 + 10x 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. 6x + -10x + -12y = 12 + 10x + -10x Combine like terms: 6x + -10x = -4x -4x + -12y = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -4x + -12y = 12 + 0 -4x + -12y = 12 Add '12y' to each side of the equation. -4x + -12y + 12y = 12 + 12y Combine like terms: -12y + 12y = 0 -4x + 0 = 12 + 12y -4x = 12 + 12y Divide each side by '-4'. x = -3 + -3y Simplifying x = -3 + -3y
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