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Simplifying 6(3 + -2x) = 1 + -1(2x + -1) (3 * 6 + -2x * 6) = 1 + -1(2x + -1) (18 + -12x) = 1 + -1(2x + -1) Reorder the terms: 18 + -12x = 1 + -1(-1 + 2x) 18 + -12x = 1 + (-1 * -1 + 2x * -1) 18 + -12x = 1 + (1 + -2x) Combine like terms: 1 + 1 = 2 18 + -12x = 2 + -2x Solving 18 + -12x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + -12x + 2x = 2 + -2x + 2x Combine like terms: -12x + 2x = -10x 18 + -10x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -10x = 2 + 0 18 + -10x = 2 Add '-18' to each side of the equation. 18 + -18 + -10x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = 2 + -18 -10x = 2 + -18 Combine like terms: 2 + -18 = -16 -10x = -16 Divide each side by '-10'. x = 1.6 Simplifying x = 1.6
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