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Simplifying -8(x + y) + 3 + (x + y) + 14(x + y) = 0 (x * -8 + y * -8) + 3 + (x + y) + 14(x + y) = 0 (-8x + -8y) + 3 + (x + y) + 14(x + y) = 0 Remove parenthesis around (x + y) -8x + -8y + 3 + x + y + 14(x + y) = 0 -8x + -8y + 3 + x + y + (x * 14 + y * 14) = 0 -8x + -8y + 3 + x + y + (14x + 14y) = 0 Reorder the terms: 3 + -8x + x + 14x + -8y + y + 14y = 0 Combine like terms: -8x + x = -7x 3 + -7x + 14x + -8y + y + 14y = 0 Combine like terms: -7x + 14x = 7x 3 + 7x + -8y + y + 14y = 0 Combine like terms: -8y + y = -7y 3 + 7x + -7y + 14y = 0 Combine like terms: -7y + 14y = 7y 3 + 7x + 7y = 0 Solving 3 + 7x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 7x + -3 + 7y = 0 + -3 Reorder the terms: 3 + -3 + 7x + 7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x + 7y = 0 + -3 7x + 7y = 0 + -3 Combine like terms: 0 + -3 = -3 7x + 7y = -3 Add '-7y' to each side of the equation. 7x + 7y + -7y = -3 + -7y Combine like terms: 7y + -7y = 0 7x + 0 = -3 + -7y 7x = -3 + -7y Divide each side by '7'. x = -0.4285714286 + -1y Simplifying x = -0.4285714286 + -1y
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