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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 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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