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Simplifying 12 + [5 + -1(9 + 2x)] = 7 + -5x 12 + [5 + (9 * -1 + 2x * -1)] = 7 + -5x 12 + [5 + (-9 + -2x)] = 7 + -5x Combine like terms: 5 + -9 = -4 12 + [-4 + -2x] = 7 + -5x Remove brackets around [-4 + -2x] 12 + -4 + -2x = 7 + -5x Combine like terms: 12 + -4 = 8 8 + -2x = 7 + -5x Solving 8 + -2x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -2x + 5x = 7 + -5x + 5x Combine like terms: -2x + 5x = 3x 8 + 3x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 3x = 7 + 0 8 + 3x = 7 Add '-8' to each side of the equation. 8 + -8 + 3x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 7 + -8 3x = 7 + -8 Combine like terms: 7 + -8 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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