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Simplifying 8x + -2(2y + 4) = 40 + 2y Reorder the terms: 8x + -2(4 + 2y) = 40 + 2y 8x + (4 * -2 + 2y * -2) = 40 + 2y 8x + (-8 + -4y) = 40 + 2y Reorder the terms: -8 + 8x + -4y = 40 + 2y Solving -8 + 8x + -4y = 40 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8x + 8 + -4y = 40 + 8 + 2y Reorder the terms: -8 + 8 + 8x + -4y = 40 + 8 + 2y Combine like terms: -8 + 8 = 0 0 + 8x + -4y = 40 + 8 + 2y 8x + -4y = 40 + 8 + 2y Combine like terms: 40 + 8 = 48 8x + -4y = 48 + 2y Add '4y' to each side of the equation. 8x + -4y + 4y = 48 + 2y + 4y Combine like terms: -4y + 4y = 0 8x + 0 = 48 + 2y + 4y 8x = 48 + 2y + 4y Combine like terms: 2y + 4y = 6y 8x = 48 + 6y Divide each side by '8'. x = 6 + 0.75y Simplifying x = 6 + 0.75y
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