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Simplifying 5x + 3(1 + 6x) = -43 5x + (1 * 3 + 6x * 3) = -43 5x + (3 + 18x) = -43 Reorder the terms: 3 + 5x + 18x = -43 Combine like terms: 5x + 18x = 23x 3 + 23x = -43 Solving 3 + 23x = -43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 23x = -43 + -3 Combine like terms: 3 + -3 = 0 0 + 23x = -43 + -3 23x = -43 + -3 Combine like terms: -43 + -3 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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