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Simplifying 10 + -3(10 + -1(8 + x)) = 7x + -1(x + -10) 10 + -3(10 + (8 * -1 + x * -1)) = 7x + -1(x + -10) 10 + -3(10 + (-8 + -1x)) = 7x + -1(x + -10) Combine like terms: 10 + -8 = 2 10 + -3(2 + -1x) = 7x + -1(x + -10) 10 + (2 * -3 + -1x * -3) = 7x + -1(x + -10) 10 + (-6 + 3x) = 7x + -1(x + -10) Combine like terms: 10 + -6 = 4 4 + 3x = 7x + -1(x + -10) Reorder the terms: 4 + 3x = 7x + -1(-10 + x) 4 + 3x = 7x + (-10 * -1 + x * -1) 4 + 3x = 7x + (10 + -1x) Reorder the terms: 4 + 3x = 10 + 7x + -1x Combine like terms: 7x + -1x = 6x 4 + 3x = 10 + 6x Solving 4 + 3x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 3x + -6x = 10 + 6x + -6x Combine like terms: 3x + -6x = -3x 4 + -3x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -3x = 10 + 0 4 + -3x = 10 Add '-4' to each side of the equation. 4 + -4 + -3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 10 + -4 -3x = 10 + -4 Combine like terms: 10 + -4 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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