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Simplifying [13 + -4(x + -2y)] + 10(7x + y) = 0 [13 + (x * -4 + -2y * -4)] + 10(7x + y) = 0 [13 + (-4x + 8y)] + 10(7x + y) = 0 Remove brackets around [13 + -4x + 8y] 13 + -4x + 8y + 10(7x + y) = 0 13 + -4x + 8y + (7x * 10 + y * 10) = 0 13 + -4x + 8y + (70x + 10y) = 0 Reorder the terms: 13 + -4x + 70x + 8y + 10y = 0 Combine like terms: -4x + 70x = 66x 13 + 66x + 8y + 10y = 0 Combine like terms: 8y + 10y = 18y 13 + 66x + 18y = 0 Solving 13 + 66x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 66x + -13 + 18y = 0 + -13 Reorder the terms: 13 + -13 + 66x + 18y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 66x + 18y = 0 + -13 66x + 18y = 0 + -13 Combine like terms: 0 + -13 = -13 66x + 18y = -13 Add '-18y' to each side of the equation. 66x + 18y + -18y = -13 + -18y Combine like terms: 18y + -18y = 0 66x + 0 = -13 + -18y 66x = -13 + -18y Divide each side by '66'. x = -0.196969697 + -0.2727272727y Simplifying x = -0.196969697 + -0.2727272727y
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