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Simplifying 7 + -1(-12 + x + -2) + -10 = 6 Reorder the terms: 7 + -1(-12 + -2 + x) + -10 = 6 Combine like terms: -12 + -2 = -14 7 + -1(-14 + x) + -10 = 6 7 + (-14 * -1 + x * -1) + -10 = 6 7 + (14 + -1x) + -10 = 6 Reorder the terms: 7 + 14 + -10 + -1x = 6 Combine like terms: 7 + 14 = 21 21 + -10 + -1x = 6 Combine like terms: 21 + -10 = 11 11 + -1x = 6 Solving 11 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 6 + -11 -1x = 6 + -11 Combine like terms: 6 + -11 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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