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Simplifying 7x + 2[3(1 + -1x) + -2(1 + x)] = 14 7x + 2[(1 * 3 + -1x * 3) + -2(1 + x)] = 14 7x + 2[(3 + -3x) + -2(1 + x)] = 14 7x + 2[3 + -3x + (1 * -2 + x * -2)] = 14 7x + 2[3 + -3x + (-2 + -2x)] = 14 Reorder the terms: 7x + 2[3 + -2 + -3x + -2x] = 14 Combine like terms: 3 + -2 = 1 7x + 2[1 + -3x + -2x] = 14 Combine like terms: -3x + -2x = -5x 7x + 2[1 + -5x] = 14 7x + [1 * 2 + -5x * 2] = 14 7x + [2 + -10x] = 14 Reorder the terms: 2 + 7x + -10x = 14 Combine like terms: 7x + -10x = -3x 2 + -3x = 14 Solving 2 + -3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 14 + -2 -3x = 14 + -2 Combine like terms: 14 + -2 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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