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Simplifying 8x + -3y = 34 + 4(y + -2x) Reorder the terms: 8x + -3y = 34 + 4(-2x + y) 8x + -3y = 34 + (-2x * 4 + y * 4) 8x + -3y = 34 + (-8x + 4y) Solving 8x + -3y = 34 + -8x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8x + 8x + -3y = 34 + -8x + 8x + 4y Combine like terms: 8x + 8x = 16x 16x + -3y = 34 + -8x + 8x + 4y Combine like terms: -8x + 8x = 0 16x + -3y = 34 + 0 + 4y 16x + -3y = 34 + 4y Add '3y' to each side of the equation. 16x + -3y + 3y = 34 + 4y + 3y Combine like terms: -3y + 3y = 0 16x + 0 = 34 + 4y + 3y 16x = 34 + 4y + 3y Combine like terms: 4y + 3y = 7y 16x = 34 + 7y Divide each side by '16'. x = 2.125 + 0.4375y Simplifying x = 2.125 + 0.4375y
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