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Simplifying 42 = 6(1 + -3x) 42 = (1 * 6 + -3x * 6) 42 = (6 + -18x) Solving 42 = 6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 42 + 18x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 42 + 18x = 6 + 0 42 + 18x = 6 Add '-42' to each side of the equation. 42 + -42 + 18x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 18x = 6 + -42 18x = 6 + -42 Combine like terms: 6 + -42 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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