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Simplifying 3(x + 9) = 2(4x + 21) Reorder the terms: 3(9 + x) = 2(4x + 21) (9 * 3 + x * 3) = 2(4x + 21) (27 + 3x) = 2(4x + 21) Reorder the terms: 27 + 3x = 2(21 + 4x) 27 + 3x = (21 * 2 + 4x * 2) 27 + 3x = (42 + 8x) Solving 27 + 3x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 27 + 3x + -8x = 42 + 8x + -8x Combine like terms: 3x + -8x = -5x 27 + -5x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -5x = 42 + 0 27 + -5x = 42 Add '-27' to each side of the equation. 27 + -27 + -5x = 42 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 42 + -27 -5x = 42 + -27 Combine like terms: 42 + -27 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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