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Simplifying 12x + 3 = 9 + -5(4x + -3) Reorder the terms: 3 + 12x = 9 + -5(4x + -3) Reorder the terms: 3 + 12x = 9 + -5(-3 + 4x) 3 + 12x = 9 + (-3 * -5 + 4x * -5) 3 + 12x = 9 + (15 + -20x) Combine like terms: 9 + 15 = 24 3 + 12x = 24 + -20x Solving 3 + 12x = 24 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 3 + 12x + 20x = 24 + -20x + 20x Combine like terms: 12x + 20x = 32x 3 + 32x = 24 + -20x + 20x Combine like terms: -20x + 20x = 0 3 + 32x = 24 + 0 3 + 32x = 24 Add '-3' to each side of the equation. 3 + -3 + 32x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 32x = 24 + -3 32x = 24 + -3 Combine like terms: 24 + -3 = 21 32x = 21 Divide each side by '32'. x = 0.65625 Simplifying x = 0.65625
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