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Simplifying 4(3x + 9) + -5 = -3(12x + -5) Reorder the terms: 4(9 + 3x) + -5 = -3(12x + -5) (9 * 4 + 3x * 4) + -5 = -3(12x + -5) (36 + 12x) + -5 = -3(12x + -5) Reorder the terms: 36 + -5 + 12x = -3(12x + -5) Combine like terms: 36 + -5 = 31 31 + 12x = -3(12x + -5) Reorder the terms: 31 + 12x = -3(-5 + 12x) 31 + 12x = (-5 * -3 + 12x * -3) 31 + 12x = (15 + -36x) Solving 31 + 12x = 15 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 31 + 12x + 36x = 15 + -36x + 36x Combine like terms: 12x + 36x = 48x 31 + 48x = 15 + -36x + 36x Combine like terms: -36x + 36x = 0 31 + 48x = 15 + 0 31 + 48x = 15 Add '-31' to each side of the equation. 31 + -31 + 48x = 15 + -31 Combine like terms: 31 + -31 = 0 0 + 48x = 15 + -31 48x = 15 + -31 Combine like terms: 15 + -31 = -16 48x = -16 Divide each side by '48'. x = -0.3333333333 Simplifying x = -0.3333333333
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