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Simplifying x + -6 = 8 + -1(10 + x) Reorder the terms: -6 + x = 8 + -1(10 + x) -6 + x = 8 + (10 * -1 + x * -1) -6 + x = 8 + (-10 + -1x) Combine like terms: 8 + -10 = -2 -6 + x = -2 + -1x Solving -6 + x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + x + x = -2 + -1x + x Combine like terms: x + x = 2x -6 + 2x = -2 + -1x + x Combine like terms: -1x + x = 0 -6 + 2x = -2 + 0 -6 + 2x = -2 Add '6' to each side of the equation. -6 + 6 + 2x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -2 + 6 2x = -2 + 6 Combine like terms: -2 + 6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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