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Simplifying (2x + 4y) + 2(2x + 5) = 0 Remove parenthesis around (2x + 4y) 2x + 4y + 2(2x + 5) = 0 Reorder the terms: 2x + 4y + 2(5 + 2x) = 0 2x + 4y + (5 * 2 + 2x * 2) = 0 2x + 4y + (10 + 4x) = 0 Reorder the terms: 10 + 2x + 4x + 4y = 0 Combine like terms: 2x + 4x = 6x 10 + 6x + 4y = 0 Solving 10 + 6x + 4y = 0 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 + 6x + -10 + 4y = 0 + -10 Reorder the terms: 10 + -10 + 6x + 4y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + 4y = 0 + -10 6x + 4y = 0 + -10 Combine like terms: 0 + -10 = -10 6x + 4y = -10 Add '-4y' to each side of the equation. 6x + 4y + -4y = -10 + -4y Combine like terms: 4y + -4y = 0 6x + 0 = -10 + -4y 6x = -10 + -4y Divide each side by '6'. x = -1.666666667 + -0.6666666667y Simplifying x = -1.666666667 + -0.6666666667y
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