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Simplifying 3(x + 9) = 2(3x + 24) Reorder the terms: 3(9 + x) = 2(3x + 24) (9 * 3 + x * 3) = 2(3x + 24) (27 + 3x) = 2(3x + 24) Reorder the terms: 27 + 3x = 2(24 + 3x) 27 + 3x = (24 * 2 + 3x * 2) 27 + 3x = (48 + 6x) Solving 27 + 3x = 48 + 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. 27 + 3x + -6x = 48 + 6x + -6x Combine like terms: 3x + -6x = -3x 27 + -3x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -3x = 48 + 0 27 + -3x = 48 Add '-27' to each side of the equation. 27 + -27 + -3x = 48 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 48 + -27 -3x = 48 + -27 Combine like terms: 48 + -27 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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