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Simplifying -2 + 6(1 + -1x) = 2(8 + -5x) -2 + (1 * 6 + -1x * 6) = 2(8 + -5x) -2 + (6 + -6x) = 2(8 + -5x) Combine like terms: -2 + 6 = 4 4 + -6x = 2(8 + -5x) 4 + -6x = (8 * 2 + -5x * 2) 4 + -6x = (16 + -10x) Solving 4 + -6x = 16 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 4 + -6x + 10x = 16 + -10x + 10x Combine like terms: -6x + 10x = 4x 4 + 4x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 4x = 16 + 0 4 + 4x = 16 Add '-4' to each side of the equation. 4 + -4 + 4x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 16 + -4 4x = 16 + -4 Combine like terms: 16 + -4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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