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Simplifying 12 + 5x = 5(-3x + 2) Reorder the terms: 12 + 5x = 5(2 + -3x) 12 + 5x = (2 * 5 + -3x * 5) 12 + 5x = (10 + -15x) Solving 12 + 5x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 12 + 5x + 15x = 10 + -15x + 15x Combine like terms: 5x + 15x = 20x 12 + 20x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + 20x = 10 + 0 12 + 20x = 10 Add '-12' to each side of the equation. 12 + -12 + 20x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 20x = 10 + -12 20x = 10 + -12 Combine like terms: 10 + -12 = -2 20x = -2 Divide each side by '20'. x = -0.1 Simplifying x = -0.1
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