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Simplifying 2 + [5 + -1(9 + -2x)] = 7 + 5x 2 + [5 + (9 * -1 + -2x * -1)] = 7 + 5x 2 + [5 + (-9 + 2x)] = 7 + 5x Combine like terms: 5 + -9 = -4 2 + [-4 + 2x] = 7 + 5x Remove brackets around [-4 + 2x] 2 + -4 + 2x = 7 + 5x Combine like terms: 2 + -4 = -2 -2 + 2x = 7 + 5x Solving -2 + 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. -2 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = 7 + 0 -2 + -3x = 7 Add '2' to each side of the equation. -2 + 2 + -3x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 7 + 2 -3x = 7 + 2 Combine like terms: 7 + 2 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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