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Simplifying [13 + -8(x + -7y)] + 9(7x + y) = 0 [13 + (x * -8 + -7y * -8)] + 9(7x + y) = 0 [13 + (-8x + 56y)] + 9(7x + y) = 0 Remove brackets around [13 + -8x + 56y] 13 + -8x + 56y + 9(7x + y) = 0 13 + -8x + 56y + (7x * 9 + y * 9) = 0 13 + -8x + 56y + (63x + 9y) = 0 Reorder the terms: 13 + -8x + 63x + 56y + 9y = 0 Combine like terms: -8x + 63x = 55x 13 + 55x + 56y + 9y = 0 Combine like terms: 56y + 9y = 65y 13 + 55x + 65y = 0 Solving 13 + 55x + 65y = 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 + 55x + -13 + 65y = 0 + -13 Reorder the terms: 13 + -13 + 55x + 65y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 55x + 65y = 0 + -13 55x + 65y = 0 + -13 Combine like terms: 0 + -13 = -13 55x + 65y = -13 Add '-65y' to each side of the equation. 55x + 65y + -65y = -13 + -65y Combine like terms: 65y + -65y = 0 55x + 0 = -13 + -65y 55x = -13 + -65y Divide each side by '55'. x = -0.2363636364 + -1.181818182y Simplifying x = -0.2363636364 + -1.181818182y
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