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Simplifying 10 = 7x + 2[3(1 + -1x) + -2(1 + x)] 10 = 7x + 2[(1 * 3 + -1x * 3) + -2(1 + x)] 10 = 7x + 2[(3 + -3x) + -2(1 + x)] 10 = 7x + 2[3 + -3x + (1 * -2 + x * -2)] 10 = 7x + 2[3 + -3x + (-2 + -2x)] Reorder the terms: 10 = 7x + 2[3 + -2 + -3x + -2x] Combine like terms: 3 + -2 = 1 10 = 7x + 2[1 + -3x + -2x] Combine like terms: -3x + -2x = -5x 10 = 7x + 2[1 + -5x] 10 = 7x + [1 * 2 + -5x * 2] 10 = 7x + [2 + -10x] Reorder the terms: 10 = 2 + 7x + -10x Combine like terms: 7x + -10x = -3x 10 = 2 + -3x Solving 10 = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 3x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 3x = 2 + 0 10 + 3x = 2 Add '-10' to each side of the equation. 10 + -10 + 3x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 2 + -10 3x = 2 + -10 Combine like terms: 2 + -10 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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