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Simplifying 4(x + y) + y + 2(y + 5) + 6x = 0 (x * 4 + y * 4) + y + 2(y + 5) + 6x = 0 (4x + 4y) + y + 2(y + 5) + 6x = 0 Reorder the terms: 4x + 4y + y + 2(5 + y) + 6x = 0 4x + 4y + y + (5 * 2 + y * 2) + 6x = 0 4x + 4y + y + (10 + 2y) + 6x = 0 Reorder the terms: 10 + 4x + 6x + 4y + y + 2y = 0 Combine like terms: 4x + 6x = 10x 10 + 10x + 4y + y + 2y = 0 Combine like terms: 4y + y = 5y 10 + 10x + 5y + 2y = 0 Combine like terms: 5y + 2y = 7y 10 + 10x + 7y = 0 Solving 10 + 10x + 7y = 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 + 10x + -10 + 7y = 0 + -10 Reorder the terms: 10 + -10 + 10x + 7y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10x + 7y = 0 + -10 10x + 7y = 0 + -10 Combine like terms: 0 + -10 = -10 10x + 7y = -10 Add '-7y' to each side of the equation. 10x + 7y + -7y = -10 + -7y Combine like terms: 7y + -7y = 0 10x + 0 = -10 + -7y 10x = -10 + -7y Divide each side by '10'. x = -1 + -0.7y Simplifying x = -1 + -0.7y
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