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Simplifying 3(x + 6) = 2(3x + 21) Reorder the terms: 3(6 + x) = 2(3x + 21) (6 * 3 + x * 3) = 2(3x + 21) (18 + 3x) = 2(3x + 21) Reorder the terms: 18 + 3x = 2(21 + 3x) 18 + 3x = (21 * 2 + 3x * 2) 18 + 3x = (42 + 6x) Solving 18 + 3x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 3x + -6x = 42 + 6x + -6x Combine like terms: 3x + -6x = -3x 18 + -3x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -3x = 42 + 0 18 + -3x = 42 Add '-18' to each side of the equation. 18 + -18 + -3x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 42 + -18 -3x = 42 + -18 Combine like terms: 42 + -18 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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