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Simplifying 12x + 38 = -45x Reorder the terms: 38 + 12x = -45x Solving 38 + 12x = -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 38 + 12x + 45x = -45x + 45x Combine like terms: 12x + 45x = 57x 38 + 57x = -45x + 45x Combine like terms: -45x + 45x = 0 38 + 57x = 0 Add '-38' to each side of the equation. 38 + -38 + 57x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 57x = 0 + -38 57x = 0 + -38 Combine like terms: 0 + -38 = -38 57x = -38 Divide each side by '57'. x = -0.6666666667 Simplifying x = -0.6666666667
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