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Simplifying 3(6x + 1) + 42 + (-2x) = 0 Reorder the terms: 3(1 + 6x) + 42 + (-2x) = 0 (1 * 3 + 6x * 3) + 42 + (-2x) = 0 (3 + 18x) + 42 + (-2x) = 0 Reorder the terms: 3 + 42 + 18x + (-2x) = 0 Combine like terms: 3 + 42 = 45 45 + 18x + (-2x) = 0 Combine like terms: 18x + (-2x) = 16x 45 + 16x = 0 Solving 45 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 16x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 16x = 0 + -45 16x = 0 + -45 Combine like terms: 0 + -45 = -45 16x = -45 Divide each side by '16'. x = -2.8125 Simplifying x = -2.8125
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