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Simplifying 12x + 15x + -9 + 5 = 3x + 5 + -9 Reorder the terms: -9 + 5 + 12x + 15x = 3x + 5 + -9 Combine like terms: -9 + 5 = -4 -4 + 12x + 15x = 3x + 5 + -9 Combine like terms: 12x + 15x = 27x -4 + 27x = 3x + 5 + -9 Reorder the terms: -4 + 27x = 5 + -9 + 3x Combine like terms: 5 + -9 = -4 -4 + 27x = -4 + 3x Add '4' to each side of the equation. -4 + 4 + 27x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 0 + 27x = -4 + 4 + 3x 27x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 27x = 0 + 3x 27x = 3x Solving 27x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27x + -3x = 3x + -3x Combine like terms: 27x + -3x = 24x 24x = 3x + -3x Combine like terms: 3x + -3x = 0 24x = 0 Divide each side by '24'. x = 0 Simplifying x = 0
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