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Simplifying 2x + 3[5(x + -1) + 2] = 42 Reorder the terms: 2x + 3[5(-1 + x) + 2] = 42 2x + 3[(-1 * 5 + x * 5) + 2] = 42 2x + 3[(-5 + 5x) + 2] = 42 Reorder the terms: 2x + 3[-5 + 2 + 5x] = 42 Combine like terms: -5 + 2 = -3 2x + 3[-3 + 5x] = 42 2x + [-3 * 3 + 5x * 3] = 42 2x + [-9 + 15x] = 42 Reorder the terms: -9 + 2x + 15x = 42 Combine like terms: 2x + 15x = 17x -9 + 17x = 42 Solving -9 + 17x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 17x = 42 + 9 Combine like terms: -9 + 9 = 0 0 + 17x = 42 + 9 17x = 42 + 9 Combine like terms: 42 + 9 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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