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Simplifying 45x + 8 = 3x + -12 Reorder the terms: 8 + 45x = 3x + -12 Reorder the terms: 8 + 45x = -12 + 3x Solving 8 + 45x = -12 + 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. 8 + 45x + -3x = -12 + 3x + -3x Combine like terms: 45x + -3x = 42x 8 + 42x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 42x = -12 + 0 8 + 42x = -12 Add '-8' to each side of the equation. 8 + -8 + 42x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 42x = -12 + -8 42x = -12 + -8 Combine like terms: -12 + -8 = -20 42x = -20 Divide each side by '42'. x = -0.4761904762 Simplifying x = -0.4761904762
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