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Simplifying 4(x + -1y) = 6(x + -2y) (x * 4 + -1y * 4) = 6(x + -2y) (4x + -4y) = 6(x + -2y) 4x + -4y = (x * 6 + -2y * 6) 4x + -4y = (6x + -12y) Solving 4x + -4y = 6x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4x + -6x + -4y = 6x + -6x + -12y Combine like terms: 4x + -6x = -2x -2x + -4y = 6x + -6x + -12y Combine like terms: 6x + -6x = 0 -2x + -4y = 0 + -12y -2x + -4y = -12y Add '4y' to each side of the equation. -2x + -4y + 4y = -12y + 4y Combine like terms: -4y + 4y = 0 -2x + 0 = -12y + 4y -2x = -12y + 4y Combine like terms: -12y + 4y = -8y -2x = -8y Divide each side by '-2'. x = 4y Simplifying x = 4y
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