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Simplifying 4x + 2(5 + 2y) = 40 4x + (5 * 2 + 2y * 2) = 40 4x + (10 + 4y) = 40 Reorder the terms: 10 + 4x + 4y = 40 Solving 10 + 4x + 4y = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4x + -10 + 4y = 40 + -10 Reorder the terms: 10 + -10 + 4x + 4y = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 4x + 4y = 40 + -10 4x + 4y = 40 + -10 Combine like terms: 40 + -10 = 30 4x + 4y = 30 Add '-4y' to each side of the equation. 4x + 4y + -4y = 30 + -4y Combine like terms: 4y + -4y = 0 4x + 0 = 30 + -4y 4x = 30 + -4y Divide each side by '4'. x = 7.5 + -1y Simplifying x = 7.5 + -1y
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