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Simplifying 3(5x + 1) + 2(1 + -6x) = 9 Reorder the terms: 3(1 + 5x) + 2(1 + -6x) = 9 (1 * 3 + 5x * 3) + 2(1 + -6x) = 9 (3 + 15x) + 2(1 + -6x) = 9 3 + 15x + (1 * 2 + -6x * 2) = 9 3 + 15x + (2 + -12x) = 9 Reorder the terms: 3 + 2 + 15x + -12x = 9 Combine like terms: 3 + 2 = 5 5 + 15x + -12x = 9 Combine like terms: 15x + -12x = 3x 5 + 3x = 9 Solving 5 + 3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 9 + -5 3x = 9 + -5 Combine like terms: 9 + -5 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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