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Simplifying 10x + -12y = -5x + 4y Solving 10x + -12y = -5x + 4y 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. 10x + 5x + -12y = -5x + 5x + 4y Combine like terms: 10x + 5x = 15x 15x + -12y = -5x + 5x + 4y Combine like terms: -5x + 5x = 0 15x + -12y = 0 + 4y 15x + -12y = 4y Add '12y' to each side of the equation. 15x + -12y + 12y = 4y + 12y Combine like terms: -12y + 12y = 0 15x + 0 = 4y + 12y 15x = 4y + 12y Combine like terms: 4y + 12y = 16y 15x = 16y Divide each side by '15'. x = 1.066666667y Simplifying x = 1.066666667y
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