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Simplifying 3 + 2[4 + -5(x + -1)] = -7x Reorder the terms: 3 + 2[4 + -5(-1 + x)] = -7x 3 + 2[4 + (-1 * -5 + x * -5)] = -7x 3 + 2[4 + (5 + -5x)] = -7x Combine like terms: 4 + 5 = 9 3 + 2[9 + -5x] = -7x 3 + [9 * 2 + -5x * 2] = -7x 3 + [18 + -10x] = -7x Combine like terms: 3 + 18 = 21 21 + -10x = -7x Solving 21 + -10x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 21 + -10x + 7x = -7x + 7x Combine like terms: -10x + 7x = -3x 21 + -3x = -7x + 7x Combine like terms: -7x + 7x = 0 21 + -3x = 0 Add '-21' to each side of the equation. 21 + -21 + -3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 0 + -21 -3x = 0 + -21 Combine like terms: 0 + -21 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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