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Simplifying 8 + -2(6x + -1) = 4x + -2(2x + 9) Reorder the terms: 8 + -2(-1 + 6x) = 4x + -2(2x + 9) 8 + (-1 * -2 + 6x * -2) = 4x + -2(2x + 9) 8 + (2 + -12x) = 4x + -2(2x + 9) Combine like terms: 8 + 2 = 10 10 + -12x = 4x + -2(2x + 9) Reorder the terms: 10 + -12x = 4x + -2(9 + 2x) 10 + -12x = 4x + (9 * -2 + 2x * -2) 10 + -12x = 4x + (-18 + -4x) Reorder the terms: 10 + -12x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -12x = -18 + 0 10 + -12x = -18 Solving 10 + -12x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -12x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -18 + -10 -12x = -18 + -10 Combine like terms: -18 + -10 = -28 -12x = -28 Divide each side by '-12'. x = 2.333333333 Simplifying x = 2.333333333
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