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Simplifying 6x + -7y = 2(x + 2y) 6x + -7y = (x * 2 + 2y * 2) 6x + -7y = (2x + 4y) Solving 6x + -7y = 2x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6x + -2x + -7y = 2x + -2x + 4y Combine like terms: 6x + -2x = 4x 4x + -7y = 2x + -2x + 4y Combine like terms: 2x + -2x = 0 4x + -7y = 0 + 4y 4x + -7y = 4y Add '7y' to each side of the equation. 4x + -7y + 7y = 4y + 7y Combine like terms: -7y + 7y = 0 4x + 0 = 4y + 7y 4x = 4y + 7y Combine like terms: 4y + 7y = 11y 4x = 11y Divide each side by '4'. x = 2.75y Simplifying x = 2.75y
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