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Simplifying 3(7 + -2x) = 14 + -18(x + -1) (7 * 3 + -2x * 3) = 14 + -18(x + -1) (21 + -6x) = 14 + -18(x + -1) Reorder the terms: 21 + -6x = 14 + -18(-1 + x) 21 + -6x = 14 + (-1 * -18 + x * -18) 21 + -6x = 14 + (18 + -18x) Combine like terms: 14 + 18 = 32 21 + -6x = 32 + -18x Solving 21 + -6x = 32 + -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. 21 + -6x + 18x = 32 + -18x + 18x Combine like terms: -6x + 18x = 12x 21 + 12x = 32 + -18x + 18x Combine like terms: -18x + 18x = 0 21 + 12x = 32 + 0 21 + 12x = 32 Add '-21' to each side of the equation. 21 + -21 + 12x = 32 + -21 Combine like terms: 21 + -21 = 0 0 + 12x = 32 + -21 12x = 32 + -21 Combine like terms: 32 + -21 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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