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Simplifying [x + 4] + [x + -6] = 10 Reorder the terms: [4 + x] + [x + -6] = 10 Remove brackets around [4 + x] 4 + x + [x + -6] = 10 Reorder the terms: 4 + x + [-6 + x] = 10 Remove brackets around [-6 + x] 4 + x + -6 + x = 10 Reorder the terms: 4 + -6 + x + x = 10 Combine like terms: 4 + -6 = -2 -2 + x + x = 10 Combine like terms: x + x = 2x -2 + 2x = 10 Solving -2 + 2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 10 + 2 2x = 10 + 2 Combine like terms: 10 + 2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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