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Simplifying 3(7 + -5x + -9x) + 6(6x + 3) = 21 Combine like terms: -5x + -9x = -14x 3(7 + -14x) + 6(6x + 3) = 21 (7 * 3 + -14x * 3) + 6(6x + 3) = 21 (21 + -42x) + 6(6x + 3) = 21 Reorder the terms: 21 + -42x + 6(3 + 6x) = 21 21 + -42x + (3 * 6 + 6x * 6) = 21 21 + -42x + (18 + 36x) = 21 Reorder the terms: 21 + 18 + -42x + 36x = 21 Combine like terms: 21 + 18 = 39 39 + -42x + 36x = 21 Combine like terms: -42x + 36x = -6x 39 + -6x = 21 Solving 39 + -6x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -6x = 21 + -39 Combine like terms: 39 + -39 = 0 0 + -6x = 21 + -39 -6x = 21 + -39 Combine like terms: 21 + -39 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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