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Simplifying [10 + -7(x + -3y)] + 8(7x + y) = 0 [10 + (x * -7 + -3y * -7)] + 8(7x + y) = 0 [10 + (-7x + 21y)] + 8(7x + y) = 0 Remove brackets around [10 + -7x + 21y] 10 + -7x + 21y + 8(7x + y) = 0 10 + -7x + 21y + (7x * 8 + y * 8) = 0 10 + -7x + 21y + (56x + 8y) = 0 Reorder the terms: 10 + -7x + 56x + 21y + 8y = 0 Combine like terms: -7x + 56x = 49x 10 + 49x + 21y + 8y = 0 Combine like terms: 21y + 8y = 29y 10 + 49x + 29y = 0 Solving 10 + 49x + 29y = 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 + 49x + -10 + 29y = 0 + -10 Reorder the terms: 10 + -10 + 49x + 29y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 49x + 29y = 0 + -10 49x + 29y = 0 + -10 Combine like terms: 0 + -10 = -10 49x + 29y = -10 Add '-29y' to each side of the equation. 49x + 29y + -29y = -10 + -29y Combine like terms: 29y + -29y = 0 49x + 0 = -10 + -29y 49x = -10 + -29y Divide each side by '49'. x = -0.2040816327 + -0.5918367347y Simplifying x = -0.2040816327 + -0.5918367347y
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