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Simplifying 13x + 7y + 1 = 7x + -4y + 1 Reorder the terms: 1 + 13x + 7y = 7x + -4y + 1 Reorder the terms: 1 + 13x + 7y = 1 + 7x + -4y Add '-1' to each side of the equation. 1 + 13x + -1 + 7y = 1 + 7x + -1 + -4y Reorder the terms: 1 + -1 + 13x + 7y = 1 + 7x + -1 + -4y Combine like terms: 1 + -1 = 0 0 + 13x + 7y = 1 + 7x + -1 + -4y 13x + 7y = 1 + 7x + -1 + -4y Reorder the terms: 13x + 7y = 1 + -1 + 7x + -4y Combine like terms: 1 + -1 = 0 13x + 7y = 0 + 7x + -4y 13x + 7y = 7x + -4y Solving 13x + 7y = 7x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13x + -7x + 7y = 7x + -7x + -4y Combine like terms: 13x + -7x = 6x 6x + 7y = 7x + -7x + -4y Combine like terms: 7x + -7x = 0 6x + 7y = 0 + -4y 6x + 7y = -4y Add '-7y' to each side of the equation. 6x + 7y + -7y = -4y + -7y Combine like terms: 7y + -7y = 0 6x + 0 = -4y + -7y 6x = -4y + -7y Combine like terms: -4y + -7y = -11y 6x = -11y Divide each side by '6'. x = -1.833333333y Simplifying x = -1.833333333y
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