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Simplifying 2x + -3[7x + 4(1 + -3x)] = 5 2x + -3[7x + (1 * 4 + -3x * 4)] = 5 2x + -3[7x + (4 + -12x)] = 5 Reorder the terms: 2x + -3[4 + 7x + -12x] = 5 Combine like terms: 7x + -12x = -5x 2x + -3[4 + -5x] = 5 2x + [4 * -3 + -5x * -3] = 5 2x + [-12 + 15x] = 5 Reorder the terms: -12 + 2x + 15x = 5 Combine like terms: 2x + 15x = 17x -12 + 17x = 5 Solving -12 + 17x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 17x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 17x = 5 + 12 17x = 5 + 12 Combine like terms: 5 + 12 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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