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Simplifying 6(1 + -3x) + -5(-1 + -6x) = 23 (1 * 6 + -3x * 6) + -5(-1 + -6x) = 23 (6 + -18x) + -5(-1 + -6x) = 23 6 + -18x + (-1 * -5 + -6x * -5) = 23 6 + -18x + (5 + 30x) = 23 Reorder the terms: 6 + 5 + -18x + 30x = 23 Combine like terms: 6 + 5 = 11 11 + -18x + 30x = 23 Combine like terms: -18x + 30x = 12x 11 + 12x = 23 Solving 11 + 12x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12x = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 23 + -11 12x = 23 + -11 Combine like terms: 23 + -11 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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