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Simplifying 3(1 + 6x) + 2(10x + 12) = 10x + x (1 * 3 + 6x * 3) + 2(10x + 12) = 10x + x (3 + 18x) + 2(10x + 12) = 10x + x Reorder the terms: 3 + 18x + 2(12 + 10x) = 10x + x 3 + 18x + (12 * 2 + 10x * 2) = 10x + x 3 + 18x + (24 + 20x) = 10x + x Reorder the terms: 3 + 24 + 18x + 20x = 10x + x Combine like terms: 3 + 24 = 27 27 + 18x + 20x = 10x + x Combine like terms: 18x + 20x = 38x 27 + 38x = 10x + x Combine like terms: 10x + x = 11x 27 + 38x = 11x Solving 27 + 38x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + 38x + -11x = 11x + -11x Combine like terms: 38x + -11x = 27x 27 + 27x = 11x + -11x Combine like terms: 11x + -11x = 0 27 + 27x = 0 Add '-27' to each side of the equation. 27 + -27 + 27x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 27x = 0 + -27 27x = 0 + -27 Combine like terms: 0 + -27 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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