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Simplifying 12 + [5 + -1(9 + 2x)] = 7 + -5c 12 + [5 + (9 * -1 + 2x * -1)] = 7 + -5c 12 + [5 + (-9 + -2x)] = 7 + -5c Combine like terms: 5 + -9 = -4 12 + [-4 + -2x] = 7 + -5c Remove brackets around [-4 + -2x] 12 + -4 + -2x = 7 + -5c Combine like terms: 12 + -4 = 8 8 + -2x = 7 + -5c Solving 8 + -2x = 7 + -5c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2x = 7 + -8 + -5c Combine like terms: 8 + -8 = 0 0 + -2x = 7 + -8 + -5c -2x = 7 + -8 + -5c Combine like terms: 7 + -8 = -1 -2x = -1 + -5c Divide each side by '-2'. x = 0.5 + 2.5c Simplifying x = 0.5 + 2.5c
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