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Simplifying 3(4x + 9) = 5 + -2(5 + 2x) Reorder the terms: 3(9 + 4x) = 5 + -2(5 + 2x) (9 * 3 + 4x * 3) = 5 + -2(5 + 2x) (27 + 12x) = 5 + -2(5 + 2x) 27 + 12x = 5 + (5 * -2 + 2x * -2) 27 + 12x = 5 + (-10 + -4x) Combine like terms: 5 + -10 = -5 27 + 12x = -5 + -4x Solving 27 + 12x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 27 + 12x + 4x = -5 + -4x + 4x Combine like terms: 12x + 4x = 16x 27 + 16x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 27 + 16x = -5 + 0 27 + 16x = -5 Add '-27' to each side of the equation. 27 + -27 + 16x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 16x = -5 + -27 16x = -5 + -27 Combine like terms: -5 + -27 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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