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Simplifying 3(x + 8) = 2(3x + 21) Reorder the terms: 3(8 + x) = 2(3x + 21) (8 * 3 + x * 3) = 2(3x + 21) (24 + 3x) = 2(3x + 21) Reorder the terms: 24 + 3x = 2(21 + 3x) 24 + 3x = (21 * 2 + 3x * 2) 24 + 3x = (42 + 6x) Solving 24 + 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. 24 + 3x + -6x = 42 + 6x + -6x Combine like terms: 3x + -6x = -3x 24 + -3x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -3x = 42 + 0 24 + -3x = 42 Add '-24' to each side of the equation. 24 + -24 + -3x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 42 + -24 -3x = 42 + -24 Combine like terms: 42 + -24 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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