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Simplifying [x + y + -8] + [2x + -1y + -10] = 0 Reorder the terms: [-8 + x + y] + [2x + -1y + -10] = 0 Remove brackets around [-8 + x + y] -8 + x + y + [2x + -1y + -10] = 0 Reorder the terms: -8 + x + y + [-10 + 2x + -1y] = 0 Remove brackets around [-10 + 2x + -1y] -8 + x + y + -10 + 2x + -1y = 0 Reorder the terms: -8 + -10 + x + 2x + y + -1y = 0 Combine like terms: -8 + -10 = -18 -18 + x + 2x + y + -1y = 0 Combine like terms: x + 2x = 3x -18 + 3x + y + -1y = 0 Combine like terms: y + -1y = 0 -18 + 3x + 0 = 0 -18 + 3x = 0 Solving -18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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