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Simplifying 6x + 4y + 7x = 13 + -24(x + y) Reorder the terms: 6x + 7x + 4y = 13 + -24(x + y) Combine like terms: 6x + 7x = 13x 13x + 4y = 13 + -24(x + y) 13x + 4y = 13 + (x * -24 + y * -24) 13x + 4y = 13 + (-24x + -24y) Solving 13x + 4y = 13 + -24x + -24y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 13x + 24x + 4y = 13 + -24x + 24x + -24y Combine like terms: 13x + 24x = 37x 37x + 4y = 13 + -24x + 24x + -24y Combine like terms: -24x + 24x = 0 37x + 4y = 13 + 0 + -24y 37x + 4y = 13 + -24y Add '-4y' to each side of the equation. 37x + 4y + -4y = 13 + -24y + -4y Combine like terms: 4y + -4y = 0 37x + 0 = 13 + -24y + -4y 37x = 13 + -24y + -4y Combine like terms: -24y + -4y = -28y 37x = 13 + -28y Divide each side by '37'. x = 0.3513513514 + -0.7567567568y Simplifying x = 0.3513513514 + -0.7567567568y
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